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Finding the Fourth Proportional to 75, 112.42 and 60.49

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Solution

The fourth proportional to 75, 112.42 and 60.49 is: 90.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 112.42 = 60.49 : x
  2. Step 2: Convert to fraction form
    75/112.42 = 60.49/x
  3. Step 3: Cross multiply
    75x = 112.42 × 60.49
  4. Step 4: Simplify right side
    75x = 6,800.29
  5. Step 5: Solve for x
    x = 6,800.29/75
  6. Step 6: Final answer
    x = 90.67

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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.