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Finding the Fourth Proportional to 110.16, 151.14 and 107.70

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Solution

The fourth proportional to 110.16, 151.14 and 107.70 is: 147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.16 : 151.14 = 107.70 : x
  2. Step 2: Convert to fraction form
    110.16/151.14 = 107.70/x
  3. Step 3: Cross multiply
    110.16x = 151.14 × 107.70
  4. Step 4: Simplify right side
    110.16x = 16,277.78
  5. Step 5: Solve for x
    x = 16,277.78/110.16
  6. Step 6: Final answer
    x = 147.76

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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.