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Finding the Fourth Proportional to 97.80, 134.82 and 80.34

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Solution

The fourth proportional to 97.80, 134.82 and 80.34 is: 110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.80 : 134.82 = 80.34 : x
  2. Step 2: Convert to fraction form
    97.80/134.82 = 80.34/x
  3. Step 3: Cross multiply
    97.80x = 134.82 × 80.34
  4. Step 4: Simplify right side
    97.80x = 10,831.44
  5. Step 5: Solve for x
    x = 10,831.44/97.80
  6. Step 6: Final answer
    x = 110.75

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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.