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Finding the Fourth Proportional to 185.25, 277.79 and 87.69

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Solution

The fourth proportional to 185.25, 277.79 and 87.69 is: 131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.25 : 277.79 = 87.69 : x
  2. Step 2: Convert to fraction form
    185.25/277.79 = 87.69/x
  3. Step 3: Cross multiply
    185.25x = 277.79 × 87.69
  4. Step 4: Simplify right side
    185.25x = 24,358.97
  5. Step 5: Solve for x
    x = 24,358.97/185.25
  6. Step 6: Final answer
    x = 131.49

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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.