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Finding the Fourth Proportional to 166.86, 230.38 and 101.47

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Solution

The fourth proportional to 166.86, 230.38 and 101.47 is: 140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 230.38 = 101.47 : x
  2. Step 2: Convert to fraction form
    166.86/230.38 = 101.47/x
  3. Step 3: Cross multiply
    166.86x = 230.38 × 101.47
  4. Step 4: Simplify right side
    166.86x = 23,376.26
  5. Step 5: Solve for x
    x = 23,376.26/166.86
  6. Step 6: Final answer
    x = 140.10

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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.