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Finding the Fourth Proportional to 248.80, 372.96 and 109.84

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Solution

The fourth proportional to 248.80, 372.96 and 109.84 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.80 : 372.96 = 109.84 : x
  2. Step 2: Convert to fraction form
    248.80/372.96 = 109.84/x
  3. Step 3: Cross multiply
    248.80x = 372.96 × 109.84
  4. Step 4: Simplify right side
    248.80x = 40,965.93
  5. Step 5: Solve for x
    x = 40,965.93/248.80
  6. Step 6: Final answer
    x = 164.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.