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Finding the Fourth Proportional to 330.30, 452.97 and 316.80

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Solution

The fourth proportional to 330.30, 452.97 and 316.80 is: 434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.30 : 452.97 = 316.80 : x
  2. Step 2: Convert to fraction form
    330.30/452.97 = 316.80/x
  3. Step 3: Cross multiply
    330.30x = 452.97 × 316.80
  4. Step 4: Simplify right side
    330.30x = 143,500.90
  5. Step 5: Solve for x
    x = 143,500.90/330.30
  6. Step 6: Final answer
    x = 434.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.