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Finding the Fourth Proportional to 253.92, 378.76 and 245.28

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Solution

The fourth proportional to 253.92, 378.76 and 245.28 is: 365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 378.76 = 245.28 : x
  2. Step 2: Convert to fraction form
    253.92/378.76 = 245.28/x
  3. Step 3: Cross multiply
    253.92x = 378.76 × 245.28
  4. Step 4: Simplify right side
    253.92x = 92,902.25
  5. Step 5: Solve for x
    x = 92,902.25/253.92
  6. Step 6: Final answer
    x = 365.87

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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.