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Finding the Fourth Proportional to 425.39, 638.17 and 194.39

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Solution

The fourth proportional to 425.39, 638.17 and 194.39 is: 291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.39 : 638.17 = 194.39 : x
  2. Step 2: Convert to fraction form
    425.39/638.17 = 194.39/x
  3. Step 3: Cross multiply
    425.39x = 638.17 × 194.39
  4. Step 4: Simplify right side
    425.39x = 124,053.87
  5. Step 5: Solve for x
    x = 124,053.87/425.39
  6. Step 6: Final answer
    x = 291.62

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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.