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Finding the Fourth Proportional to 111.27, 165.80 and 99.16

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Solution

The fourth proportional to 111.27, 165.80 and 99.16 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.27 : 165.80 = 99.16 : x
  2. Step 2: Convert to fraction form
    111.27/165.80 = 99.16/x
  3. Step 3: Cross multiply
    111.27x = 165.80 × 99.16
  4. Step 4: Simplify right side
    111.27x = 16,440.56
  5. Step 5: Solve for x
    x = 16,440.56/111.27
  6. Step 6: Final answer
    x = 147.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.