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Finding the Fourth Proportional to 180.91, 272.49 and 168.23

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Solution

The fourth proportional to 180.91, 272.49 and 168.23 is: 253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.91 : 272.49 = 168.23 : x
  2. Step 2: Convert to fraction form
    180.91/272.49 = 168.23/x
  3. Step 3: Cross multiply
    180.91x = 272.49 × 168.23
  4. Step 4: Simplify right side
    180.91x = 45,841.04
  5. Step 5: Solve for x
    x = 45,841.04/180.91
  6. Step 6: Final answer
    x = 253.39

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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.