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Finding the Fourth Proportional to 167.86, 230.26 and 159.04

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Solution

The fourth proportional to 167.86, 230.26 and 159.04 is: 218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.86 : 230.26 = 159.04 : x
  2. Step 2: Convert to fraction form
    167.86/230.26 = 159.04/x
  3. Step 3: Cross multiply
    167.86x = 230.26 × 159.04
  4. Step 4: Simplify right side
    167.86x = 36,620.55
  5. Step 5: Solve for x
    x = 36,620.55/167.86
  6. Step 6: Final answer
    x = 218.16

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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.