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Finding the Fourth Proportional to 424, 634.32 and 261.28

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Solution

The fourth proportional to 424, 634.32 and 261.28 is: 390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424 : 634.32 = 261.28 : x
  2. Step 2: Convert to fraction form
    424/634.32 = 261.28/x
  3. Step 3: Cross multiply
    424x = 634.32 × 261.28
  4. Step 4: Simplify right side
    424x = 165,735.13
  5. Step 5: Solve for x
    x = 165,735.13/424
  6. Step 6: Final answer
    x = 390.88

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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.