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Finding the Fourth Proportional to 252.66, 377.07 and 238.44

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Solution

The fourth proportional to 252.66, 377.07 and 238.44 is: 355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.66 : 377.07 = 238.44 : x
  2. Step 2: Convert to fraction form
    252.66/377.07 = 238.44/x
  3. Step 3: Cross multiply
    252.66x = 377.07 × 238.44
  4. Step 4: Simplify right side
    252.66x = 89,908.57
  5. Step 5: Solve for x
    x = 89,908.57/252.66
  6. Step 6: Final answer
    x = 355.85

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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.