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Finding the Fourth Proportional to 538.40, 742.68 and 363.44

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Solution

The fourth proportional to 538.40, 742.68 and 363.44 is: 501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.40 : 742.68 = 363.44 : x
  2. Step 2: Convert to fraction form
    538.40/742.68 = 363.44/x
  3. Step 3: Cross multiply
    538.40x = 742.68 × 363.44
  4. Step 4: Simplify right side
    538.40x = 269,919.62
  5. Step 5: Solve for x
    x = 269,919.62/538.40
  6. Step 6: Final answer
    x = 501.34

Related Problems

Find fourth proportional to 269.20, 371.34 and 181.72
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.