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Finding the Fourth Proportional to 166.74, 230.06 and 96.81

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Solution

The fourth proportional to 166.74, 230.06 and 96.81 is: 133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.74 : 230.06 = 96.81 : x
  2. Step 2: Convert to fraction form
    166.74/230.06 = 96.81/x
  3. Step 3: Cross multiply
    166.74x = 230.06 × 96.81
  4. Step 4: Simplify right side
    166.74x = 22,272.11
  5. Step 5: Solve for x
    x = 22,272.11/166.74
  6. Step 6: Final answer
    x = 133.57

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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.