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Finding the Fourth Proportional to 97.17, 133.53 and 77.73

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Solution

The fourth proportional to 97.17, 133.53 and 77.73 is: 106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.17 : 133.53 = 77.73 : x
  2. Step 2: Convert to fraction form
    97.17/133.53 = 77.73/x
  3. Step 3: Cross multiply
    97.17x = 133.53 × 77.73
  4. Step 4: Simplify right side
    97.17x = 10,378.90
  5. Step 5: Solve for x
    x = 10,378.90/97.17
  6. Step 6: Final answer
    x = 106.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.