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Finding the Fourth Proportional to 422.42, 634.10 and 260.42

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Solution

The fourth proportional to 422.42, 634.10 and 260.42 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.42 : 634.10 = 260.42 : x
  2. Step 2: Convert to fraction form
    422.42/634.10 = 260.42/x
  3. Step 3: Cross multiply
    422.42x = 634.10 × 260.42
  4. Step 4: Simplify right side
    422.42x = 165,127.85
  5. Step 5: Solve for x
    x = 165,127.85/422.42
  6. Step 6: Final answer
    x = 390.91

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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.