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Finding the Fourth Proportional to 185.80, 277.16 and 178.12

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Solution

The fourth proportional to 185.80, 277.16 and 178.12 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.80 : 277.16 = 178.12 : x
  2. Step 2: Convert to fraction form
    185.80/277.16 = 178.12/x
  3. Step 3: Cross multiply
    185.80x = 277.16 × 178.12
  4. Step 4: Simplify right side
    185.80x = 49,367.74
  5. Step 5: Solve for x
    x = 49,367.74/185.80
  6. Step 6: Final answer
    x = 265.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.