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Finding the Fourth Proportional to 424.12, 635.86 and 253.08

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Solution

The fourth proportional to 424.12, 635.86 and 253.08 is: 379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 635.86 = 253.08 : x
  2. Step 2: Convert to fraction form
    424.12/635.86 = 253.08/x
  3. Step 3: Cross multiply
    424.12x = 635.86 × 253.08
  4. Step 4: Simplify right side
    424.12x = 160,923.45
  5. Step 5: Solve for x
    x = 160,923.45/424.12
  6. Step 6: Final answer
    x = 379.43

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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.