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Finding the Fourth Proportional to 111.60, 167.80 and 109.20

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Solution

The fourth proportional to 111.60, 167.80 and 109.20 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 167.80 = 109.20 : x
  2. Step 2: Convert to fraction form
    111.60/167.80 = 109.20/x
  3. Step 3: Cross multiply
    111.60x = 167.80 × 109.20
  4. Step 4: Simplify right side
    111.60x = 18,323.76
  5. Step 5: Solve for x
    x = 18,323.76/111.60
  6. Step 6: Final answer
    x = 164.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.