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Finding the Fourth Proportional to 389.38, 584.10 and 115.51

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Solution

The fourth proportional to 389.38, 584.10 and 115.51 is: 173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.38 : 584.10 = 115.51 : x
  2. Step 2: Convert to fraction form
    389.38/584.10 = 115.51/x
  3. Step 3: Cross multiply
    389.38x = 584.10 × 115.51
  4. Step 4: Simplify right side
    389.38x = 67,469.39
  5. Step 5: Solve for x
    x = 67,469.39/389.38
  6. Step 6: Final answer
    x = 173.27

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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.