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Finding the Fourth Proportional to 166.50, 229.78 and 100.08

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Solution

The fourth proportional to 166.50, 229.78 and 100.08 is: 138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 229.78 = 100.08 : x
  2. Step 2: Convert to fraction form
    166.50/229.78 = 100.08/x
  3. Step 3: Cross multiply
    166.50x = 229.78 × 100.08
  4. Step 4: Simplify right side
    166.50x = 22,996.38
  5. Step 5: Solve for x
    x = 22,996.38/166.50
  6. Step 6: Final answer
    x = 138.12

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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.