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Finding the Fourth Proportional to 618.77, 928.21 and 196.59

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Solution

The fourth proportional to 618.77, 928.21 and 196.59 is: 294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.77 : 928.21 = 196.59 : x
  2. Step 2: Convert to fraction form
    618.77/928.21 = 196.59/x
  3. Step 3: Cross multiply
    618.77x = 928.21 × 196.59
  4. Step 4: Simplify right side
    618.77x = 182,476.31
  5. Step 5: Solve for x
    x = 182,476.31/618.77
  6. Step 6: Final answer
    x = 294.90

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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.