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Finding the Fourth Proportional to 227.92, 340.12 and 195.40

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Solution

The fourth proportional to 227.92, 340.12 and 195.40 is: 291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.92 : 340.12 = 195.40 : x
  2. Step 2: Convert to fraction form
    227.92/340.12 = 195.40/x
  3. Step 3: Cross multiply
    227.92x = 340.12 × 195.40
  4. Step 4: Simplify right side
    227.92x = 66,459.45
  5. Step 5: Solve for x
    x = 66,459.45/227.92
  6. Step 6: Final answer
    x = 291.59

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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.