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Finding the Fourth Proportional to 185.07, 277.71 and 76.86

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Solution

The fourth proportional to 185.07, 277.71 and 76.86 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.07 : 277.71 = 76.86 : x
  2. Step 2: Convert to fraction form
    185.07/277.71 = 76.86/x
  3. Step 3: Cross multiply
    185.07x = 277.71 × 76.86
  4. Step 4: Simplify right side
    185.07x = 21,344.15
  5. Step 5: Solve for x
    x = 21,344.15/185.07
  6. Step 6: Final answer
    x = 115.33

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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.