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Finding the Fourth Proportional to 461.30, 636.55 and 284.21

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Solution

The fourth proportional to 461.30, 636.55 and 284.21 is: 392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.30 : 636.55 = 284.21 : x
  2. Step 2: Convert to fraction form
    461.30/636.55 = 284.21/x
  3. Step 3: Cross multiply
    461.30x = 636.55 × 284.21
  4. Step 4: Simplify right side
    461.30x = 180,909.27
  5. Step 5: Solve for x
    x = 180,909.27/461.30
  6. Step 6: Final answer
    x = 392.18

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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.