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Finding the Fourth Proportional to 381.82, 572.22 and 290.24

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Solution

The fourth proportional to 381.82, 572.22 and 290.24 is: 434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.82 : 572.22 = 290.24 : x
  2. Step 2: Convert to fraction form
    381.82/572.22 = 290.24/x
  3. Step 3: Cross multiply
    381.82x = 572.22 × 290.24
  4. Step 4: Simplify right side
    381.82x = 166,081.13
  5. Step 5: Solve for x
    x = 166,081.13/381.82
  6. Step 6: Final answer
    x = 434.97

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