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Finding the Fourth Proportional to 252.92, 381.63 and 242.92

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Solution

The fourth proportional to 252.92, 381.63 and 242.92 is: 366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.92 : 381.63 = 242.92 : x
  2. Step 2: Convert to fraction form
    252.92/381.63 = 242.92/x
  3. Step 3: Cross multiply
    252.92x = 381.63 × 242.92
  4. Step 4: Simplify right side
    252.92x = 92,705.56
  5. Step 5: Solve for x
    x = 92,705.56/252.92
  6. Step 6: Final answer
    x = 366.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.