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Finding the Fourth Proportional to 105.92, 158.88 and 41.78

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Solution

The fourth proportional to 105.92, 158.88 and 41.78 is: 62.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 158.88 = 41.78 : x
  2. Step 2: Convert to fraction form
    105.92/158.88 = 41.78/x
  3. Step 3: Cross multiply
    105.92x = 158.88 × 41.78
  4. Step 4: Simplify right side
    105.92x = 6,638.01
  5. Step 5: Solve for x
    x = 6,638.01/105.92
  6. Step 6: Final answer
    x = 62.67

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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.