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Finding the Fourth Proportional to 381.75, 569.76 and 329.46

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Solution

The fourth proportional to 381.75, 569.76 and 329.46 is: 491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 569.76 = 329.46 : x
  2. Step 2: Convert to fraction form
    381.75/569.76 = 329.46/x
  3. Step 3: Cross multiply
    381.75x = 569.76 × 329.46
  4. Step 4: Simplify right side
    381.75x = 187,713.13
  5. Step 5: Solve for x
    x = 187,713.13/381.75
  6. Step 6: Final answer
    x = 491.72

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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.