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Finding the Fourth Proportional to 185.24, 277.61 and 136.69

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Solution

The fourth proportional to 185.24, 277.61 and 136.69 is: 204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.24 : 277.61 = 136.69 : x
  2. Step 2: Convert to fraction form
    185.24/277.61 = 136.69/x
  3. Step 3: Cross multiply
    185.24x = 277.61 × 136.69
  4. Step 4: Simplify right side
    185.24x = 37,945.90
  5. Step 5: Solve for x
    x = 37,945.90/185.24
  6. Step 6: Final answer
    x = 204.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.