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Finding the Fourth Proportional to 166.95, 230.31 and 111.71

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Solution

The fourth proportional to 166.95, 230.31 and 111.71 is: 154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.95 : 230.31 = 111.71 : x
  2. Step 2: Convert to fraction form
    166.95/230.31 = 111.71/x
  3. Step 3: Cross multiply
    166.95x = 230.31 × 111.71
  4. Step 4: Simplify right side
    166.95x = 25,726.78
  5. Step 5: Solve for x
    x = 25,726.78/166.95
  6. Step 6: Final answer
    x = 154.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.