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Finding the Fourth Proportional to 381, 568.50 and 329.16

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Solution

The fourth proportional to 381, 568.50 and 329.16 is: 491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 568.50 = 329.16 : x
  2. Step 2: Convert to fraction form
    381/568.50 = 329.16/x
  3. Step 3: Cross multiply
    381x = 568.50 × 329.16
  4. Step 4: Simplify right side
    381x = 187,127.46
  5. Step 5: Solve for x
    x = 187,127.46/381
  6. Step 6: Final answer
    x = 491.15

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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.