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Finding the Fourth Proportional to 166.70, 249.97 and 58.45

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Solution

The fourth proportional to 166.70, 249.97 and 58.45 is: 87.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.70 : 249.97 = 58.45 : x
  2. Step 2: Convert to fraction form
    166.70/249.97 = 58.45/x
  3. Step 3: Cross multiply
    166.70x = 249.97 × 58.45
  4. Step 4: Simplify right side
    166.70x = 14,610.75
  5. Step 5: Solve for x
    x = 14,610.75/166.70
  6. Step 6: Final answer
    x = 87.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.