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Finding the Fourth Proportional to 389.73, 584.33 and 184.19

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Solution

The fourth proportional to 389.73, 584.33 and 184.19 is: 276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.73 : 584.33 = 184.19 : x
  2. Step 2: Convert to fraction form
    389.73/584.33 = 184.19/x
  3. Step 3: Cross multiply
    389.73x = 584.33 × 184.19
  4. Step 4: Simplify right side
    389.73x = 107,623.90
  5. Step 5: Solve for x
    x = 107,623.90/389.73
  6. Step 6: Final answer
    x = 276.15

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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.