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Finding the Fourth Proportional to 110.97, 153.38 and 97.75

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Solution

The fourth proportional to 110.97, 153.38 and 97.75 is: 135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.97 : 153.38 = 97.75 : x
  2. Step 2: Convert to fraction form
    110.97/153.38 = 97.75/x
  3. Step 3: Cross multiply
    110.97x = 153.38 × 97.75
  4. Step 4: Simplify right side
    110.97x = 14,992.41
  5. Step 5: Solve for x
    x = 14,992.41/110.97
  6. Step 6: Final answer
    x = 135.11

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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.