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Finding the Fourth Proportional to 168.72, 254.40 and 160.80

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Solution

The fourth proportional to 168.72, 254.40 and 160.80 is: 242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.72 : 254.40 = 160.80 : x
  2. Step 2: Convert to fraction form
    168.72/254.40 = 160.80/x
  3. Step 3: Cross multiply
    168.72x = 254.40 × 160.80
  4. Step 4: Simplify right side
    168.72x = 40,907.52
  5. Step 5: Solve for x
    x = 40,907.52/168.72
  6. Step 6: Final answer
    x = 242.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.