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Finding the Fourth Proportional to 253.92, 380.92 and 138.48

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Solution

The fourth proportional to 253.92, 380.92 and 138.48 is: 207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 380.92 = 138.48 : x
  2. Step 2: Convert to fraction form
    253.92/380.92 = 138.48/x
  3. Step 3: Cross multiply
    253.92x = 380.92 × 138.48
  4. Step 4: Simplify right side
    253.92x = 52,749.80
  5. Step 5: Solve for x
    x = 52,749.80/253.92
  6. Step 6: Final answer
    x = 207.74

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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.