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Finding the Fourth Proportional to 402.80, 555.78 and 245.48

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Solution

The fourth proportional to 402.80, 555.78 and 245.48 is: 338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.80 : 555.78 = 245.48 : x
  2. Step 2: Convert to fraction form
    402.80/555.78 = 245.48/x
  3. Step 3: Cross multiply
    402.80x = 555.78 × 245.48
  4. Step 4: Simplify right side
    402.80x = 136,432.87
  5. Step 5: Solve for x
    x = 136,432.87/402.80
  6. Step 6: Final answer
    x = 338.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.