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Finding the Fourth Proportional to 75, 112.48 and 34.44

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Solution

The fourth proportional to 75, 112.48 and 34.44 is: 51.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 112.48 = 34.44 : x
  2. Step 2: Convert to fraction form
    75/112.48 = 34.44/x
  3. Step 3: Cross multiply
    75x = 112.48 × 34.44
  4. Step 4: Simplify right side
    75x = 3,873.81
  5. Step 5: Solve for x
    x = 3,873.81/75
  6. Step 6: Final answer
    x = 51.65

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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.