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Finding the Fourth Proportional to 380.76, 525.15 and 270.24

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Solution

The fourth proportional to 380.76, 525.15 and 270.24 is: 372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.76 : 525.15 = 270.24 : x
  2. Step 2: Convert to fraction form
    380.76/525.15 = 270.24/x
  3. Step 3: Cross multiply
    380.76x = 525.15 × 270.24
  4. Step 4: Simplify right side
    380.76x = 141,916.54
  5. Step 5: Solve for x
    x = 141,916.54/380.76
  6. Step 6: Final answer
    x = 372.72

Related Problems

Find fourth proportional to 190.38, 262.58 and 135.12
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.