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Finding the Fourth Proportional to 227.30, 313.78 and 149.72

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Solution

The fourth proportional to 227.30, 313.78 and 149.72 is: 206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.30 : 313.78 = 149.72 : x
  2. Step 2: Convert to fraction form
    227.30/313.78 = 149.72/x
  3. Step 3: Cross multiply
    227.30x = 313.78 × 149.72
  4. Step 4: Simplify right side
    227.30x = 46,979.14
  5. Step 5: Solve for x
    x = 46,979.14/227.30
  6. Step 6: Final answer
    x = 206.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.