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Finding the Fourth Proportional to 180.24, 248.76 and 109.38

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Solution

The fourth proportional to 180.24, 248.76 and 109.38 is: 150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 248.76 = 109.38 : x
  2. Step 2: Convert to fraction form
    180.24/248.76 = 109.38/x
  3. Step 3: Cross multiply
    180.24x = 248.76 × 109.38
  4. Step 4: Simplify right side
    180.24x = 27,209.37
  5. Step 5: Solve for x
    x = 27,209.37/180.24
  6. Step 6: Final answer
    x = 150.96

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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.