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Finding the Fourth Proportional to 167.45, 231.03 and 97.49

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Solution

The fourth proportional to 167.45, 231.03 and 97.49 is: 134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.45 : 231.03 = 97.49 : x
  2. Step 2: Convert to fraction form
    167.45/231.03 = 97.49/x
  3. Step 3: Cross multiply
    167.45x = 231.03 × 97.49
  4. Step 4: Simplify right side
    167.45x = 22,521.96
  5. Step 5: Solve for x
    x = 22,521.96/167.45
  6. Step 6: Final answer
    x = 134.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.