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Finding the Fourth Proportional to 185.18, 277.47 and 87.57

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Solution

The fourth proportional to 185.18, 277.47 and 87.57 is: 131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.18 : 277.47 = 87.57 : x
  2. Step 2: Convert to fraction form
    185.18/277.47 = 87.57/x
  3. Step 3: Cross multiply
    185.18x = 277.47 × 87.57
  4. Step 4: Simplify right side
    185.18x = 24,298.05
  5. Step 5: Solve for x
    x = 24,298.05/185.18
  6. Step 6: Final answer
    x = 131.22

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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.