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Finding the Fourth Proportional to 166.57, 248.41 and 142.35

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Solution

The fourth proportional to 166.57, 248.41 and 142.35 is: 212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.57 : 248.41 = 142.35 : x
  2. Step 2: Convert to fraction form
    166.57/248.41 = 142.35/x
  3. Step 3: Cross multiply
    166.57x = 248.41 × 142.35
  4. Step 4: Simplify right side
    166.57x = 35,360.41
  5. Step 5: Solve for x
    x = 35,360.41/166.57
  6. Step 6: Final answer
    x = 212.29

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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.