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Finding the Fourth Proportional to 186.77, 281.17 and 160.35

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Solution

The fourth proportional to 186.77, 281.17 and 160.35 is: 241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.77 : 281.17 = 160.35 : x
  2. Step 2: Convert to fraction form
    186.77/281.17 = 160.35/x
  3. Step 3: Cross multiply
    186.77x = 281.17 × 160.35
  4. Step 4: Simplify right side
    186.77x = 45,084.76
  5. Step 5: Solve for x
    x = 45,084.76/186.77
  6. Step 6: Final answer
    x = 241.39

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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.