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Finding the Fourth Proportional to 224.76, 310.29 and 140.73

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Solution

The fourth proportional to 224.76, 310.29 and 140.73 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.76 : 310.29 = 140.73 : x
  2. Step 2: Convert to fraction form
    224.76/310.29 = 140.73/x
  3. Step 3: Cross multiply
    224.76x = 310.29 × 140.73
  4. Step 4: Simplify right side
    224.76x = 43,667.11
  5. Step 5: Solve for x
    x = 43,667.11/224.76
  6. Step 6: Final answer
    x = 194.28

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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.