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Finding the Fourth Proportional to 152.21, 227.82 and 138

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Solution

The fourth proportional to 152.21, 227.82 and 138 is: 206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.21 : 227.82 = 138 : x
  2. Step 2: Convert to fraction form
    152.21/227.82 = 138/x
  3. Step 3: Cross multiply
    152.21x = 227.82 × 138
  4. Step 4: Simplify right side
    152.21x = 31,439.16
  5. Step 5: Solve for x
    x = 31,439.16/152.21
  6. Step 6: Final answer
    x = 206.55

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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.