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Finding the Fourth Proportional to 381.72, 528.76 and 350.94

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Solution

The fourth proportional to 381.72, 528.76 and 350.94 is: 486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.72 : 528.76 = 350.94 : x
  2. Step 2: Convert to fraction form
    381.72/528.76 = 350.94/x
  3. Step 3: Cross multiply
    381.72x = 528.76 × 350.94
  4. Step 4: Simplify right side
    381.72x = 185,562.16
  5. Step 5: Solve for x
    x = 185,562.16/381.72
  6. Step 6: Final answer
    x = 486.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.