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Finding the Fourth Proportional to 185.05, 277.21 and 87.42

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Solution

The fourth proportional to 185.05, 277.21 and 87.42 is: 130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.05 : 277.21 = 87.42 : x
  2. Step 2: Convert to fraction form
    185.05/277.21 = 87.42/x
  3. Step 3: Cross multiply
    185.05x = 277.21 × 87.42
  4. Step 4: Simplify right side
    185.05x = 24,233.70
  5. Step 5: Solve for x
    x = 24,233.70/185.05
  6. Step 6: Final answer
    x = 130.96

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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.