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Finding the Fourth Proportional to 166.92, 230.40 and 97.00

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Solution

The fourth proportional to 166.92, 230.40 and 97.00 is: 133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 230.40 = 97.00 : x
  2. Step 2: Convert to fraction form
    166.92/230.40 = 97.00/x
  3. Step 3: Cross multiply
    166.92x = 230.40 × 97.00
  4. Step 4: Simplify right side
    166.92x = 22,348.22
  5. Step 5: Solve for x
    x = 22,348.22/166.92
  6. Step 6: Final answer
    x = 133.89

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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.