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Finding the Fourth Proportional to 381.75, 571.50 and 316.47

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Solution

The fourth proportional to 381.75, 571.50 and 316.47 is: 473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 571.50 = 316.47 : x
  2. Step 2: Convert to fraction form
    381.75/571.50 = 316.47/x
  3. Step 3: Cross multiply
    381.75x = 571.50 × 316.47
  4. Step 4: Simplify right side
    381.75x = 180,862.61
  5. Step 5: Solve for x
    x = 180,862.61/381.75
  6. Step 6: Final answer
    x = 473.77

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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.