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Finding the Fourth Proportional to 284.27, 424.47 and 249.30

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Solution

The fourth proportional to 284.27, 424.47 and 249.30 is: 372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.27 : 424.47 = 249.30 : x
  2. Step 2: Convert to fraction form
    284.27/424.47 = 249.30/x
  3. Step 3: Cross multiply
    284.27x = 424.47 × 249.30
  4. Step 4: Simplify right side
    284.27x = 105,821.96
  5. Step 5: Solve for x
    x = 105,821.96/284.27
  6. Step 6: Final answer
    x = 372.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.