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Finding the Fourth Proportional to 166.89, 251.47 and 138.63

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Solution

The fourth proportional to 166.89, 251.47 and 138.63 is: 208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.89 : 251.47 = 138.63 : x
  2. Step 2: Convert to fraction form
    166.89/251.47 = 138.63/x
  3. Step 3: Cross multiply
    166.89x = 251.47 × 138.63
  4. Step 4: Simplify right side
    166.89x = 34,861.29
  5. Step 5: Solve for x
    x = 34,861.29/166.89
  6. Step 6: Final answer
    x = 208.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.