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Finding the Fourth Proportional to 502.12, 752.32 and 357.56

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Solution

The fourth proportional to 502.12, 752.32 and 357.56 is: 535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.12 : 752.32 = 357.56 : x
  2. Step 2: Convert to fraction form
    502.12/752.32 = 357.56/x
  3. Step 3: Cross multiply
    502.12x = 752.32 × 357.56
  4. Step 4: Simplify right side
    502.12x = 268,999.54
  5. Step 5: Solve for x
    x = 268,999.54/502.12
  6. Step 6: Final answer
    x = 535.73

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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.