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Finding the Fourth Proportional to 224.71, 310.09 and 126.50

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Solution

The fourth proportional to 224.71, 310.09 and 126.50 is: 174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.71 : 310.09 = 126.50 : x
  2. Step 2: Convert to fraction form
    224.71/310.09 = 126.50/x
  3. Step 3: Cross multiply
    224.71x = 310.09 × 126.50
  4. Step 4: Simplify right side
    224.71x = 39,226.39
  5. Step 5: Solve for x
    x = 39,226.39/224.71
  6. Step 6: Final answer
    x = 174.56

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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.