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Finding the Fourth Proportional to 166.84, 230.25 and 101.35

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Solution

The fourth proportional to 166.84, 230.25 and 101.35 is: 139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.84 : 230.25 = 101.35 : x
  2. Step 2: Convert to fraction form
    166.84/230.25 = 101.35/x
  3. Step 3: Cross multiply
    166.84x = 230.25 × 101.35
  4. Step 4: Simplify right side
    166.84x = 23,335.84
  5. Step 5: Solve for x
    x = 23,335.84/166.84
  6. Step 6: Final answer
    x = 139.87

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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.