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Finding the Fourth Proportional to 166.69, 229.98 and 101.18

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Solution

The fourth proportional to 166.69, 229.98 and 101.18 is: 139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.69 : 229.98 = 101.18 : x
  2. Step 2: Convert to fraction form
    166.69/229.98 = 101.18/x
  3. Step 3: Cross multiply
    166.69x = 229.98 × 101.18
  4. Step 4: Simplify right side
    166.69x = 23,268.23
  5. Step 5: Solve for x
    x = 23,268.23/166.69
  6. Step 6: Final answer
    x = 139.59

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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.