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Finding the Fourth Proportional to 186.28, 277.82 and 167.92

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Solution

The fourth proportional to 186.28, 277.82 and 167.92 is: 250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.28 : 277.82 = 167.92 : x
  2. Step 2: Convert to fraction form
    186.28/277.82 = 167.92/x
  3. Step 3: Cross multiply
    186.28x = 277.82 × 167.92
  4. Step 4: Simplify right side
    186.28x = 46,651.53
  5. Step 5: Solve for x
    x = 46,651.53/186.28
  6. Step 6: Final answer
    x = 250.44

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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.