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Finding the Fourth Proportional to 166.79, 248.73 and 142.14

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Solution

The fourth proportional to 166.79, 248.73 and 142.14 is: 211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.79 : 248.73 = 142.14 : x
  2. Step 2: Convert to fraction form
    166.79/248.73 = 142.14/x
  3. Step 3: Cross multiply
    166.79x = 248.73 × 142.14
  4. Step 4: Simplify right side
    166.79x = 35,354.48
  5. Step 5: Solve for x
    x = 35,354.48/166.79
  6. Step 6: Final answer
    x = 211.97

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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.