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Finding the Fourth Proportional to 502.10, 752.74 and 355.90

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Solution

The fourth proportional to 502.10, 752.74 and 355.90 is: 533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 752.74 = 355.90 : x
  2. Step 2: Convert to fraction form
    502.10/752.74 = 355.90/x
  3. Step 3: Cross multiply
    502.10x = 752.74 × 355.90
  4. Step 4: Simplify right side
    502.10x = 267,900.17
  5. Step 5: Solve for x
    x = 267,900.17/502.10
  6. Step 6: Final answer
    x = 533.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.