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Finding the Fourth Proportional to 224.64, 337.20 and 163.92

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Solution

The fourth proportional to 224.64, 337.20 and 163.92 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.64 : 337.20 = 163.92 : x
  2. Step 2: Convert to fraction form
    224.64/337.20 = 163.92/x
  3. Step 3: Cross multiply
    224.64x = 337.20 × 163.92
  4. Step 4: Simplify right side
    224.64x = 55,273.82
  5. Step 5: Solve for x
    x = 55,273.82/224.64
  6. Step 6: Final answer
    x = 246.06

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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.