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Finding the Fourth Proportional to 224.80, 338.74 and 185.11

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Solution

The fourth proportional to 224.80, 338.74 and 185.11 is: 278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.80 : 338.74 = 185.11 : x
  2. Step 2: Convert to fraction form
    224.80/338.74 = 185.11/x
  3. Step 3: Cross multiply
    224.80x = 338.74 × 185.11
  4. Step 4: Simplify right side
    224.80x = 62,702.85
  5. Step 5: Solve for x
    x = 62,702.85/224.80
  6. Step 6: Final answer
    x = 278.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.