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Finding the Fourth Proportional to 186.17, 279.15 and 77.84

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Solution

The fourth proportional to 186.17, 279.15 and 77.84 is: 116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 279.15 = 77.84 : x
  2. Step 2: Convert to fraction form
    186.17/279.15 = 77.84/x
  3. Step 3: Cross multiply
    186.17x = 279.15 × 77.84
  4. Step 4: Simplify right side
    186.17x = 21,729.04
  5. Step 5: Solve for x
    x = 21,729.04/186.17
  6. Step 6: Final answer
    x = 116.72

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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.