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Finding the Fourth Proportional to 166.06, 247.79 and 148.75

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Solution

The fourth proportional to 166.06, 247.79 and 148.75 is: 221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.06 : 247.79 = 148.75 : x
  2. Step 2: Convert to fraction form
    166.06/247.79 = 148.75/x
  3. Step 3: Cross multiply
    166.06x = 247.79 × 148.75
  4. Step 4: Simplify right side
    166.06x = 36,858.76
  5. Step 5: Solve for x
    x = 36,858.76/166.06
  6. Step 6: Final answer
    x = 221.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.