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Finding the Fourth Proportional to 178.75, 268.06 and 113.80

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Solution

The fourth proportional to 178.75, 268.06 and 113.80 is: 170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.75 : 268.06 = 113.80 : x
  2. Step 2: Convert to fraction form
    178.75/268.06 = 113.80/x
  3. Step 3: Cross multiply
    178.75x = 268.06 × 113.80
  4. Step 4: Simplify right side
    178.75x = 30,503.32
  5. Step 5: Solve for x
    x = 30,503.32/178.75
  6. Step 6: Final answer
    x = 170.65

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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.