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Finding the Fourth Proportional to 224.95, 310.42 and 126.72

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Solution

The fourth proportional to 224.95, 310.42 and 126.72 is: 174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.95 : 310.42 = 126.72 : x
  2. Step 2: Convert to fraction form
    224.95/310.42 = 126.72/x
  3. Step 3: Cross multiply
    224.95x = 310.42 × 126.72
  4. Step 4: Simplify right side
    224.95x = 39,336.42
  5. Step 5: Solve for x
    x = 39,336.42/224.95
  6. Step 6: Final answer
    x = 174.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.