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Finding the Fourth Proportional to 75, 112.54 and 29.40

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Solution

The fourth proportional to 75, 112.54 and 29.40 is: 44.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 112.54 = 29.40 : x
  2. Step 2: Convert to fraction form
    75/112.54 = 29.40/x
  3. Step 3: Cross multiply
    75x = 112.54 × 29.40
  4. Step 4: Simplify right side
    75x = 3,308.68
  5. Step 5: Solve for x
    x = 3,308.68/75
  6. Step 6: Final answer
    x = 44.12

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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.