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Finding the Fourth Proportional to 186.17, 277.65 and 166.73

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Solution

The fourth proportional to 186.17, 277.65 and 166.73 is: 248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 277.65 = 166.73 : x
  2. Step 2: Convert to fraction form
    186.17/277.65 = 166.73/x
  3. Step 3: Cross multiply
    186.17x = 277.65 × 166.73
  4. Step 4: Simplify right side
    186.17x = 46,291.20
  5. Step 5: Solve for x
    x = 46,291.20/186.17
  6. Step 6: Final answer
    x = 248.66

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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.