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Finding the Fourth Proportional to 224.78, 310.25 and 137.50

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Solution

The fourth proportional to 224.78, 310.25 and 137.50 is: 189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 310.25 = 137.50 : x
  2. Step 2: Convert to fraction form
    224.78/310.25 = 137.50/x
  3. Step 3: Cross multiply
    224.78x = 310.25 × 137.50
  4. Step 4: Simplify right side
    224.78x = 42,659.38
  5. Step 5: Solve for x
    x = 42,659.38/224.78
  6. Step 6: Final answer
    x = 189.78

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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.