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Finding the Fourth Proportional to 381.36, 572.22 and 285.96

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Solution

The fourth proportional to 381.36, 572.22 and 285.96 is: 429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.36 : 572.22 = 285.96 : x
  2. Step 2: Convert to fraction form
    381.36/572.22 = 285.96/x
  3. Step 3: Cross multiply
    381.36x = 572.22 × 285.96
  4. Step 4: Simplify right side
    381.36x = 163,632.03
  5. Step 5: Solve for x
    x = 163,632.03/381.36
  6. Step 6: Final answer
    x = 429.07

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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.