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Finding the Fourth Proportional to 186.60, 281.43 and 167.40

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Solution

The fourth proportional to 186.60, 281.43 and 167.40 is: 252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.60 : 281.43 = 167.40 : x
  2. Step 2: Convert to fraction form
    186.60/281.43 = 167.40/x
  3. Step 3: Cross multiply
    186.60x = 281.43 × 167.40
  4. Step 4: Simplify right side
    186.60x = 47,111.38
  5. Step 5: Solve for x
    x = 47,111.38/186.60
  6. Step 6: Final answer
    x = 252.47

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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.