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Finding the Fourth Proportional to 321.36, 478.80 and 308.88

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Solution

The fourth proportional to 321.36, 478.80 and 308.88 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.36 : 478.80 = 308.88 : x
  2. Step 2: Convert to fraction form
    321.36/478.80 = 308.88/x
  3. Step 3: Cross multiply
    321.36x = 478.80 × 308.88
  4. Step 4: Simplify right side
    321.36x = 147,891.74
  5. Step 5: Solve for x
    x = 147,891.74/321.36
  6. Step 6: Final answer
    x = 460.21

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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.