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Finding the Fourth Proportional to 381.50, 572.04 and 121.43

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Solution

The fourth proportional to 381.50, 572.04 and 121.43 is: 182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.50 : 572.04 = 121.43 : x
  2. Step 2: Convert to fraction form
    381.50/572.04 = 121.43/x
  3. Step 3: Cross multiply
    381.50x = 572.04 × 121.43
  4. Step 4: Simplify right side
    381.50x = 69,459.73
  5. Step 5: Solve for x
    x = 69,459.73/381.50
  6. Step 6: Final answer
    x = 182.07

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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.