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Finding the Fourth Proportional to 167.12, 249.44 and 140.16

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Solution

The fourth proportional to 167.12, 249.44 and 140.16 is: 209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.12 : 249.44 = 140.16 : x
  2. Step 2: Convert to fraction form
    167.12/249.44 = 140.16/x
  3. Step 3: Cross multiply
    167.12x = 249.44 × 140.16
  4. Step 4: Simplify right side
    167.12x = 34,961.51
  5. Step 5: Solve for x
    x = 34,961.51/167.12
  6. Step 6: Final answer
    x = 209.20

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