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Finding the Fourth Proportional to 152.32, 227.98 and 111.73

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Solution

The fourth proportional to 152.32, 227.98 and 111.73 is: 167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 227.98 = 111.73 : x
  2. Step 2: Convert to fraction form
    152.32/227.98 = 111.73/x
  3. Step 3: Cross multiply
    152.32x = 227.98 × 111.73
  4. Step 4: Simplify right side
    152.32x = 25,472.21
  5. Step 5: Solve for x
    x = 25,472.21/152.32
  6. Step 6: Final answer
    x = 167.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.