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Finding the Fourth Proportional to 620.18, 929.92 and 255.22

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Solution

The fourth proportional to 620.18, 929.92 and 255.22 is: 382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.18 : 929.92 = 255.22 : x
  2. Step 2: Convert to fraction form
    620.18/929.92 = 255.22/x
  3. Step 3: Cross multiply
    620.18x = 929.92 × 255.22
  4. Step 4: Simplify right side
    620.18x = 237,332.91
  5. Step 5: Solve for x
    x = 237,332.91/620.18
  6. Step 6: Final answer
    x = 382.68

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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.