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Finding the Fourth Proportional to 424.04, 585.22 and 249.38

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Solution

The fourth proportional to 424.04, 585.22 and 249.38 is: 344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.04 : 585.22 = 249.38 : x
  2. Step 2: Convert to fraction form
    424.04/585.22 = 249.38/x
  3. Step 3: Cross multiply
    424.04x = 585.22 × 249.38
  4. Step 4: Simplify right side
    424.04x = 145,942.16
  5. Step 5: Solve for x
    x = 145,942.16/424.04
  6. Step 6: Final answer
    x = 344.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.