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Finding the Fourth Proportional to 185.15, 277.49 and 76.81

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Solution

The fourth proportional to 185.15, 277.49 and 76.81 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.15 : 277.49 = 76.81 : x
  2. Step 2: Convert to fraction form
    185.15/277.49 = 76.81/x
  3. Step 3: Cross multiply
    185.15x = 277.49 × 76.81
  4. Step 4: Simplify right side
    185.15x = 21,314.01
  5. Step 5: Solve for x
    x = 21,314.01/185.15
  6. Step 6: Final answer
    x = 115.12

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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.