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Finding the Fourth Proportional to 110.16, 150.80 and 109.89

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Solution

The fourth proportional to 110.16, 150.80 and 109.89 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.16 : 150.80 = 109.89 : x
  2. Step 2: Convert to fraction form
    110.16/150.80 = 109.89/x
  3. Step 3: Cross multiply
    110.16x = 150.80 × 109.89
  4. Step 4: Simplify right side
    110.16x = 16,570.86
  5. Step 5: Solve for x
    x = 16,570.86/110.16
  6. Step 6: Final answer
    x = 150.43

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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.