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Finding the Fourth Proportional to 618.39, 926.20 and 357.78

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Solution

The fourth proportional to 618.39, 926.20 and 357.78 is: 535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.39 : 926.20 = 357.78 : x
  2. Step 2: Convert to fraction form
    618.39/926.20 = 357.78/x
  3. Step 3: Cross multiply
    618.39x = 926.20 × 357.78
  4. Step 4: Simplify right side
    618.39x = 331,375.84
  5. Step 5: Solve for x
    x = 331,375.84/618.39
  6. Step 6: Final answer
    x = 535.87

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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.