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Finding the Fourth Proportional to 180.72, 249.12 and 161.28

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Solution

The fourth proportional to 180.72, 249.12 and 161.28 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 249.12 = 161.28 : x
  2. Step 2: Convert to fraction form
    180.72/249.12 = 161.28/x
  3. Step 3: Cross multiply
    180.72x = 249.12 × 161.28
  4. Step 4: Simplify right side
    180.72x = 40,178.07
  5. Step 5: Solve for x
    x = 40,178.07/180.72
  6. Step 6: Final answer
    x = 222.32

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Why These Related Problems?

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