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Finding the Fourth Proportional to 500.68, 750.38 and 257.32

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Solution

The fourth proportional to 500.68, 750.38 and 257.32 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.68 : 750.38 = 257.32 : x
  2. Step 2: Convert to fraction form
    500.68/750.38 = 257.32/x
  3. Step 3: Cross multiply
    500.68x = 750.38 × 257.32
  4. Step 4: Simplify right side
    500.68x = 193,087.78
  5. Step 5: Solve for x
    x = 193,087.78/500.68
  6. Step 6: Final answer
    x = 385.65

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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.