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Finding the Fourth Proportional to 166.18, 229.34 and 100.70

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Solution

The fourth proportional to 166.18, 229.34 and 100.70 is: 138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.18 : 229.34 = 100.70 : x
  2. Step 2: Convert to fraction form
    166.18/229.34 = 100.70/x
  3. Step 3: Cross multiply
    166.18x = 229.34 × 100.70
  4. Step 4: Simplify right side
    166.18x = 23,094.54
  5. Step 5: Solve for x
    x = 23,094.54/166.18
  6. Step 6: Final answer
    x = 138.97

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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.