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Finding the Fourth Proportional to 166.97, 251.68 and 153.10

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Solution

The fourth proportional to 166.97, 251.68 and 153.10 is: 230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.97 : 251.68 = 153.10 : x
  2. Step 2: Convert to fraction form
    166.97/251.68 = 153.10/x
  3. Step 3: Cross multiply
    166.97x = 251.68 × 153.10
  4. Step 4: Simplify right side
    166.97x = 38,532.21
  5. Step 5: Solve for x
    x = 38,532.21/166.97
  6. Step 6: Final answer
    x = 230.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.