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Finding the Fourth Proportional to 389.62, 584.24 and 184.08

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Solution

The fourth proportional to 389.62, 584.24 and 184.08 is: 276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.62 : 584.24 = 184.08 : x
  2. Step 2: Convert to fraction form
    389.62/584.24 = 184.08/x
  3. Step 3: Cross multiply
    389.62x = 584.24 × 184.08
  4. Step 4: Simplify right side
    389.62x = 107,546.90
  5. Step 5: Solve for x
    x = 107,546.90/389.62
  6. Step 6: Final answer
    x = 276.03

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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.