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Finding the Fourth Proportional to 402.92, 603.76 and 240.22

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Solution

The fourth proportional to 402.92, 603.76 and 240.22 is: 359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.92 : 603.76 = 240.22 : x
  2. Step 2: Convert to fraction form
    402.92/603.76 = 240.22/x
  3. Step 3: Cross multiply
    402.92x = 603.76 × 240.22
  4. Step 4: Simplify right side
    402.92x = 145,035.23
  5. Step 5: Solve for x
    x = 145,035.23/402.92
  6. Step 6: Final answer
    x = 359.96

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