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Finding the Fourth Proportional to 166.25, 229.43 and 100.78

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Solution

The fourth proportional to 166.25, 229.43 and 100.78 is: 139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.25 : 229.43 = 100.78 : x
  2. Step 2: Convert to fraction form
    166.25/229.43 = 100.78/x
  3. Step 3: Cross multiply
    166.25x = 229.43 × 100.78
  4. Step 4: Simplify right side
    166.25x = 23,121.96
  5. Step 5: Solve for x
    x = 23,121.96/166.25
  6. Step 6: Final answer
    x = 139.08

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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.