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Finding the Fourth Proportional to 321.82, 480.02 and 269.88

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Solution

The fourth proportional to 321.82, 480.02 and 269.88 is: 402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.82 : 480.02 = 269.88 : x
  2. Step 2: Convert to fraction form
    321.82/480.02 = 269.88/x
  3. Step 3: Cross multiply
    321.82x = 480.02 × 269.88
  4. Step 4: Simplify right side
    321.82x = 129,547.80
  5. Step 5: Solve for x
    x = 129,547.80/321.82
  6. Step 6: Final answer
    x = 402.55

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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.