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Finding the Fourth Proportional to 168.80, 233.18 and 130.48

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Solution

The fourth proportional to 168.80, 233.18 and 130.48 is: 180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.80 : 233.18 = 130.48 : x
  2. Step 2: Convert to fraction form
    168.80/233.18 = 130.48/x
  3. Step 3: Cross multiply
    168.80x = 233.18 × 130.48
  4. Step 4: Simplify right side
    168.80x = 30,425.33
  5. Step 5: Solve for x
    x = 30,425.33/168.80
  6. Step 6: Final answer
    x = 180.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.