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Finding the Fourth Proportional to 389.19, 583.25 and 196.59

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Solution

The fourth proportional to 389.19, 583.25 and 196.59 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.19 : 583.25 = 196.59 : x
  2. Step 2: Convert to fraction form
    389.19/583.25 = 196.59/x
  3. Step 3: Cross multiply
    389.19x = 583.25 × 196.59
  4. Step 4: Simplify right side
    389.19x = 114,660.13
  5. Step 5: Solve for x
    x = 114,660.13/389.19
  6. Step 6: Final answer
    x = 294.61

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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.