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Finding the Fourth Proportional to 119.46, 178.21 and 116.43

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Solution

The fourth proportional to 119.46, 178.21 and 116.43 is: 173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.46 : 178.21 = 116.43 : x
  2. Step 2: Convert to fraction form
    119.46/178.21 = 116.43/x
  3. Step 3: Cross multiply
    119.46x = 178.21 × 116.43
  4. Step 4: Simplify right side
    119.46x = 20,748.99
  5. Step 5: Solve for x
    x = 20,748.99/119.46
  6. Step 6: Final answer
    x = 173.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.