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Finding the Fourth Proportional to 166.32, 250.50 and 140.82

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Solution

The fourth proportional to 166.32, 250.50 and 140.82 is: 212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 250.50 = 140.82 : x
  2. Step 2: Convert to fraction form
    166.32/250.50 = 140.82/x
  3. Step 3: Cross multiply
    166.32x = 250.50 × 140.82
  4. Step 4: Simplify right side
    166.32x = 35,275.41
  5. Step 5: Solve for x
    x = 35,275.41/166.32
  6. Step 6: Final answer
    x = 212.09

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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.