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Finding the Fourth Proportional to 381.50, 572.32 and 121.54

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Solution

The fourth proportional to 381.50, 572.32 and 121.54 is: 182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.50 : 572.32 = 121.54 : x
  2. Step 2: Convert to fraction form
    381.50/572.32 = 121.54/x
  3. Step 3: Cross multiply
    381.50x = 572.32 × 121.54
  4. Step 4: Simplify right side
    381.50x = 69,559.77
  5. Step 5: Solve for x
    x = 69,559.77/381.50
  6. Step 6: Final answer
    x = 182.33

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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.