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Finding the Fourth Proportional to 166.87, 229.29 and 135.71

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Solution

The fourth proportional to 166.87, 229.29 and 135.71 is: 186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.87 : 229.29 = 135.71 : x
  2. Step 2: Convert to fraction form
    166.87/229.29 = 135.71/x
  3. Step 3: Cross multiply
    166.87x = 229.29 × 135.71
  4. Step 4: Simplify right side
    166.87x = 31,115.80
  5. Step 5: Solve for x
    x = 31,115.80/166.87
  6. Step 6: Final answer
    x = 186.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.