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Finding the Fourth Proportional to 381.75, 572.91 and 290.61

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Solution

The fourth proportional to 381.75, 572.91 and 290.61 is: 436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 572.91 = 290.61 : x
  2. Step 2: Convert to fraction form
    381.75/572.91 = 290.61/x
  3. Step 3: Cross multiply
    381.75x = 572.91 × 290.61
  4. Step 4: Simplify right side
    381.75x = 166,493.38
  5. Step 5: Solve for x
    x = 166,493.38/381.75
  6. Step 6: Final answer
    x = 436.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.