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Finding the Fourth Proportional to 422.49, 634.17 and 260.58

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Solution

The fourth proportional to 422.49, 634.17 and 260.58 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.49 : 634.17 = 260.58 : x
  2. Step 2: Convert to fraction form
    422.49/634.17 = 260.58/x
  3. Step 3: Cross multiply
    422.49x = 634.17 × 260.58
  4. Step 4: Simplify right side
    422.49x = 165,252.02
  5. Step 5: Solve for x
    x = 165,252.02/422.49
  6. Step 6: Final answer
    x = 391.14

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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.