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Finding the Fourth Proportional to 180.48, 249.12 and 110.52

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Solution

The fourth proportional to 180.48, 249.12 and 110.52 is: 152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 249.12 = 110.52 : x
  2. Step 2: Convert to fraction form
    180.48/249.12 = 110.52/x
  3. Step 3: Cross multiply
    180.48x = 249.12 × 110.52
  4. Step 4: Simplify right side
    180.48x = 27,532.74
  5. Step 5: Solve for x
    x = 27,532.74/180.48
  6. Step 6: Final answer
    x = 152.55

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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.