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Finding the Fourth Proportional to 229.74, 343.32 and 185.85

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Solution

The fourth proportional to 229.74, 343.32 and 185.85 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.74 : 343.32 = 185.85 : x
  2. Step 2: Convert to fraction form
    229.74/343.32 = 185.85/x
  3. Step 3: Cross multiply
    229.74x = 343.32 × 185.85
  4. Step 4: Simplify right side
    229.74x = 63,806.02
  5. Step 5: Solve for x
    x = 63,806.02/229.74
  6. Step 6: Final answer
    x = 277.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.