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Finding the Fourth Proportional to 284.43, 424.57 and 244.11

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Solution

The fourth proportional to 284.43, 424.57 and 244.11 is: 364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.43 : 424.57 = 244.11 : x
  2. Step 2: Convert to fraction form
    284.43/424.57 = 244.11/x
  3. Step 3: Cross multiply
    284.43x = 424.57 × 244.11
  4. Step 4: Simplify right side
    284.43x = 103,641.17
  5. Step 5: Solve for x
    x = 103,641.17/284.43
  6. Step 6: Final answer
    x = 364.38

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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.