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Finding the Fourth Proportional to 402.27, 603.21 and 239.91

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Solution

The fourth proportional to 402.27, 603.21 and 239.91 is: 359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.27 : 603.21 = 239.91 : x
  2. Step 2: Convert to fraction form
    402.27/603.21 = 239.91/x
  3. Step 3: Cross multiply
    402.27x = 603.21 × 239.91
  4. Step 4: Simplify right side
    402.27x = 144,716.11
  5. Step 5: Solve for x
    x = 144,716.11/402.27
  6. Step 6: Final answer
    x = 359.75

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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.