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Finding the Fourth Proportional to 110.57, 151.61 and 100.17

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Solution

The fourth proportional to 110.57, 151.61 and 100.17 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.57 : 151.61 = 100.17 : x
  2. Step 2: Convert to fraction form
    110.57/151.61 = 100.17/x
  3. Step 3: Cross multiply
    110.57x = 151.61 × 100.17
  4. Step 4: Simplify right side
    110.57x = 15,186.27
  5. Step 5: Solve for x
    x = 15,186.27/110.57
  6. Step 6: Final answer
    x = 137.35

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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.