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Finding the Fourth Proportional to 186.88, 278.12 and 180.88

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Solution

The fourth proportional to 186.88, 278.12 and 180.88 is: 269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.88 : 278.12 = 180.88 : x
  2. Step 2: Convert to fraction form
    186.88/278.12 = 180.88/x
  3. Step 3: Cross multiply
    186.88x = 278.12 × 180.88
  4. Step 4: Simplify right side
    186.88x = 50,306.35
  5. Step 5: Solve for x
    x = 50,306.35/186.88
  6. Step 6: Final answer
    x = 269.19

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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.