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Finding the Fourth Proportional to 119.94, 178.86 and 113.10

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Solution

The fourth proportional to 119.94, 178.86 and 113.10 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.94 : 178.86 = 113.10 : x
  2. Step 2: Convert to fraction form
    119.94/178.86 = 113.10/x
  3. Step 3: Cross multiply
    119.94x = 178.86 × 113.10
  4. Step 4: Simplify right side
    119.94x = 20,229.07
  5. Step 5: Solve for x
    x = 20,229.07/119.94
  6. Step 6: Final answer
    x = 168.66

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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.