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Finding the Fourth Proportional to 329.67, 490.61 and 319.95

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Solution

The fourth proportional to 329.67, 490.61 and 319.95 is: 476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.67 : 490.61 = 319.95 : x
  2. Step 2: Convert to fraction form
    329.67/490.61 = 319.95/x
  3. Step 3: Cross multiply
    329.67x = 490.61 × 319.95
  4. Step 4: Simplify right side
    329.67x = 156,969.67
  5. Step 5: Solve for x
    x = 156,969.67/329.67
  6. Step 6: Final answer
    x = 476.14

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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.