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Finding the Fourth Proportional to 110.97, 153.23 and 94.77

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Solution

The fourth proportional to 110.97, 153.23 and 94.77 is: 130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.97 : 153.23 = 94.77 : x
  2. Step 2: Convert to fraction form
    110.97/153.23 = 94.77/x
  3. Step 3: Cross multiply
    110.97x = 153.23 × 94.77
  4. Step 4: Simplify right side
    110.97x = 14,521.13
  5. Step 5: Solve for x
    x = 14,521.13/110.97
  6. Step 6: Final answer
    x = 130.86

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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.