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Finding the Fourth Proportional to 152.61, 227.52 and 138.03

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Solution

The fourth proportional to 152.61, 227.52 and 138.03 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.61 : 227.52 = 138.03 : x
  2. Step 2: Convert to fraction form
    152.61/227.52 = 138.03/x
  3. Step 3: Cross multiply
    152.61x = 227.52 × 138.03
  4. Step 4: Simplify right side
    152.61x = 31,403.73
  5. Step 5: Solve for x
    x = 31,403.73/152.61
  6. Step 6: Final answer
    x = 205.78

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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.