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Finding the Fourth Proportional to 424.57, 636.91 and 193.52

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Solution

The fourth proportional to 424.57, 636.91 and 193.52 is: 290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.57 : 636.91 = 193.52 : x
  2. Step 2: Convert to fraction form
    424.57/636.91 = 193.52/x
  3. Step 3: Cross multiply
    424.57x = 636.91 × 193.52
  4. Step 4: Simplify right side
    424.57x = 123,251.64
  5. Step 5: Solve for x
    x = 123,251.64/424.57
  6. Step 6: Final answer
    x = 290.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.