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Finding the Fourth Proportional to 403.82, 606.82 and 308.78

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Solution

The fourth proportional to 403.82, 606.82 and 308.78 is: 464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.82 : 606.82 = 308.78 : x
  2. Step 2: Convert to fraction form
    403.82/606.82 = 308.78/x
  3. Step 3: Cross multiply
    403.82x = 606.82 × 308.78
  4. Step 4: Simplify right side
    403.82x = 187,373.88
  5. Step 5: Solve for x
    x = 187,373.88/403.82
  6. Step 6: Final answer
    x = 464.00

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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.