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Finding the Fourth Proportional to 424.32, 635.84 and 279.52

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Solution

The fourth proportional to 424.32, 635.84 and 279.52 is: 418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.32 : 635.84 = 279.52 : x
  2. Step 2: Convert to fraction form
    424.32/635.84 = 279.52/x
  3. Step 3: Cross multiply
    424.32x = 635.84 × 279.52
  4. Step 4: Simplify right side
    424.32x = 177,730.00
  5. Step 5: Solve for x
    x = 177,730.00/424.32
  6. Step 6: Final answer
    x = 418.86

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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.