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Finding the Fourth Proportional to 321.61, 446.08 and 308.65

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Solution

The fourth proportional to 321.61, 446.08 and 308.65 is: 428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.61 : 446.08 = 308.65 : x
  2. Step 2: Convert to fraction form
    321.61/446.08 = 308.65/x
  3. Step 3: Cross multiply
    321.61x = 446.08 × 308.65
  4. Step 4: Simplify right side
    321.61x = 137,682.59
  5. Step 5: Solve for x
    x = 137,682.59/321.61
  6. Step 6: Final answer
    x = 428.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.