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Finding the Fourth Proportional to 381.35, 571.25 and 283.95

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Solution

The fourth proportional to 381.35, 571.25 and 283.95 is: 425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.35 : 571.25 = 283.95 : x
  2. Step 2: Convert to fraction form
    381.35/571.25 = 283.95/x
  3. Step 3: Cross multiply
    381.35x = 571.25 × 283.95
  4. Step 4: Simplify right side
    381.35x = 162,205.02
  5. Step 5: Solve for x
    x = 162,205.02/381.35
  6. Step 6: Final answer
    x = 425.35

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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.