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Finding the Fourth Proportional to 381.93, 569.91 and 341.03

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Solution

The fourth proportional to 381.93, 569.91 and 341.03 is: 508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.93 : 569.91 = 341.03 : x
  2. Step 2: Convert to fraction form
    381.93/569.91 = 341.03/x
  3. Step 3: Cross multiply
    381.93x = 569.91 × 341.03
  4. Step 4: Simplify right side
    381.93x = 194,353.56
  5. Step 5: Solve for x
    x = 194,353.56/381.93
  6. Step 6: Final answer
    x = 508.87

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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.