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Finding the Fourth Proportional to 540.72, 746.26 and 319.69

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Solution

The fourth proportional to 540.72, 746.26 and 319.69 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 746.26 = 319.69 : x
  2. Step 2: Convert to fraction form
    540.72/746.26 = 319.69/x
  3. Step 3: Cross multiply
    540.72x = 746.26 × 319.69
  4. Step 4: Simplify right side
    540.72x = 238,571.86
  5. Step 5: Solve for x
    x = 238,571.86/540.72
  6. Step 6: Final answer
    x = 441.21

Related Problems

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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.