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Finding the Fourth Proportional to 180.15, 268.31 and 168.91

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Solution

The fourth proportional to 180.15, 268.31 and 168.91 is: 251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.15 : 268.31 = 168.91 : x
  2. Step 2: Convert to fraction form
    180.15/268.31 = 168.91/x
  3. Step 3: Cross multiply
    180.15x = 268.31 × 168.91
  4. Step 4: Simplify right side
    180.15x = 45,319.04
  5. Step 5: Solve for x
    x = 45,319.04/180.15
  6. Step 6: Final answer
    x = 251.57

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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.