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Finding the Fourth Proportional to 500.78, 750.97 and 240.61

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Solution

The fourth proportional to 500.78, 750.97 and 240.61 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.78 : 750.97 = 240.61 : x
  2. Step 2: Convert to fraction form
    500.78/750.97 = 240.61/x
  3. Step 3: Cross multiply
    500.78x = 750.97 × 240.61
  4. Step 4: Simplify right side
    500.78x = 180,689.69
  5. Step 5: Solve for x
    x = 180,689.69/500.78
  6. Step 6: Final answer
    x = 360.82

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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.