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Finding the Fourth Proportional to 618.06, 926.78 and 252.75

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Solution

The fourth proportional to 618.06, 926.78 and 252.75 is: 378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.06 : 926.78 = 252.75 : x
  2. Step 2: Convert to fraction form
    618.06/926.78 = 252.75/x
  3. Step 3: Cross multiply
    618.06x = 926.78 × 252.75
  4. Step 4: Simplify right side
    618.06x = 234,239.01
  5. Step 5: Solve for x
    x = 234,239.01/618.06
  6. Step 6: Final answer
    x = 378.99

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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.