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Finding the Fourth Proportional to 111.33, 165.87 and 108.15

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Solution

The fourth proportional to 111.33, 165.87 and 108.15 is: 161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.33 : 165.87 = 108.15 : x
  2. Step 2: Convert to fraction form
    111.33/165.87 = 108.15/x
  3. Step 3: Cross multiply
    111.33x = 165.87 × 108.15
  4. Step 4: Simplify right side
    111.33x = 17,938.84
  5. Step 5: Solve for x
    x = 17,938.84/111.33
  6. Step 6: Final answer
    x = 161.13

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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.