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Finding the Fourth Proportional to 381.06, 569.32 and 335.94

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Solution

The fourth proportional to 381.06, 569.32 and 335.94 is: 501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 569.32 = 335.94 : x
  2. Step 2: Convert to fraction form
    381.06/569.32 = 335.94/x
  3. Step 3: Cross multiply
    381.06x = 569.32 × 335.94
  4. Step 4: Simplify right side
    381.06x = 191,257.36
  5. Step 5: Solve for x
    x = 191,257.36/381.06
  6. Step 6: Final answer
    x = 501.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.