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Finding the Fourth Proportional to 393.29, 584.63 and 381.63

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Solution

The fourth proportional to 393.29, 584.63 and 381.63 is: 567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.29 : 584.63 = 381.63 : x
  2. Step 2: Convert to fraction form
    393.29/584.63 = 381.63/x
  3. Step 3: Cross multiply
    393.29x = 584.63 × 381.63
  4. Step 4: Simplify right side
    393.29x = 223,110.44
  5. Step 5: Solve for x
    x = 223,110.44/393.29
  6. Step 6: Final answer
    x = 567.30

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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.