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Finding the Fourth Proportional to 166.24, 248.69 and 143.66

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Solution

The fourth proportional to 166.24, 248.69 and 143.66 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.24 : 248.69 = 143.66 : x
  2. Step 2: Convert to fraction form
    166.24/248.69 = 143.66/x
  3. Step 3: Cross multiply
    166.24x = 248.69 × 143.66
  4. Step 4: Simplify right side
    166.24x = 35,725.38
  5. Step 5: Solve for x
    x = 35,725.38/166.24
  6. Step 6: Final answer
    x = 214.91

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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.