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Finding the Fourth Proportional to 227.29, 313.78 and 148.72

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Solution

The fourth proportional to 227.29, 313.78 and 148.72 is: 205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.29 : 313.78 = 148.72 : x
  2. Step 2: Convert to fraction form
    227.29/313.78 = 148.72/x
  3. Step 3: Cross multiply
    227.29x = 313.78 × 148.72
  4. Step 4: Simplify right side
    227.29x = 46,665.36
  5. Step 5: Solve for x
    x = 46,665.36/227.29
  6. Step 6: Final answer
    x = 205.31

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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.