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Finding the Fourth Proportional to 118.83, 178.26 and 41.78

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Solution

The fourth proportional to 118.83, 178.26 and 41.78 is: 62.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.83 : 178.26 = 41.78 : x
  2. Step 2: Convert to fraction form
    118.83/178.26 = 41.78/x
  3. Step 3: Cross multiply
    118.83x = 178.26 × 41.78
  4. Step 4: Simplify right side
    118.83x = 7,446.81
  5. Step 5: Solve for x
    x = 7,446.81/118.83
  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.