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Finding the Fourth Proportional to 403.20, 604.91 and 197.78

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Solution

The fourth proportional to 403.20, 604.91 and 197.78 is: 296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.20 : 604.91 = 197.78 : x
  2. Step 2: Convert to fraction form
    403.20/604.91 = 197.78/x
  3. Step 3: Cross multiply
    403.20x = 604.91 × 197.78
  4. Step 4: Simplify right side
    403.20x = 119,636.57
  5. Step 5: Solve for x
    x = 119,636.57/403.20
  6. Step 6: Final answer
    x = 296.72

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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.