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Finding the Fourth Proportional to 321.44, 479.13 and 286.55

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Solution

The fourth proportional to 321.44, 479.13 and 286.55 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.44 : 479.13 = 286.55 : x
  2. Step 2: Convert to fraction form
    321.44/479.13 = 286.55/x
  3. Step 3: Cross multiply
    321.44x = 479.13 × 286.55
  4. Step 4: Simplify right side
    321.44x = 137,294.70
  5. Step 5: Solve for x
    x = 137,294.70/321.44
  6. Step 6: Final answer
    x = 427.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.