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Finding the Fourth Proportional to 424.31, 585.36 and 284.31

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Solution

The fourth proportional to 424.31, 585.36 and 284.31 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.31 : 585.36 = 284.31 : x
  2. Step 2: Convert to fraction form
    424.31/585.36 = 284.31/x
  3. Step 3: Cross multiply
    424.31x = 585.36 × 284.31
  4. Step 4: Simplify right side
    424.31x = 166,423.70
  5. Step 5: Solve for x
    x = 166,423.70/424.31
  6. Step 6: Final answer
    x = 392.23

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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.