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Finding the Fourth Proportional to 166.89, 248.86 and 144.21

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Solution

The fourth proportional to 166.89, 248.86 and 144.21 is: 215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.89 : 248.86 = 144.21 : x
  2. Step 2: Convert to fraction form
    166.89/248.86 = 144.21/x
  3. Step 3: Cross multiply
    166.89x = 248.86 × 144.21
  4. Step 4: Simplify right side
    166.89x = 35,886.14
  5. Step 5: Solve for x
    x = 35,886.14/166.89
  6. Step 6: Final answer
    x = 215.04

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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.