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Finding the Fourth Proportional to 110.74, 150.70 and 110.20

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Solution

The fourth proportional to 110.74, 150.70 and 110.20 is: 149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 150.70 = 110.20 : x
  2. Step 2: Convert to fraction form
    110.74/150.70 = 110.20/x
  3. Step 3: Cross multiply
    110.74x = 150.70 × 110.20
  4. Step 4: Simplify right side
    110.74x = 16,607.14
  5. Step 5: Solve for x
    x = 16,607.14/110.74
  6. Step 6: Final answer
    x = 149.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.