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Finding the Fourth Proportional to 186.66, 281.61 and 178.20

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Solution

The fourth proportional to 186.66, 281.61 and 178.20 is: 268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.66 : 281.61 = 178.20 : x
  2. Step 2: Convert to fraction form
    186.66/281.61 = 178.20/x
  3. Step 3: Cross multiply
    186.66x = 281.61 × 178.20
  4. Step 4: Simplify right side
    186.66x = 50,182.90
  5. Step 5: Solve for x
    x = 50,182.90/186.66
  6. Step 6: Final answer
    x = 268.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.