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Finding the Fourth Proportional to 389.52, 583.92 and 196.56

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Solution

The fourth proportional to 389.52, 583.92 and 196.56 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 583.92 = 196.56 : x
  2. Step 2: Convert to fraction form
    389.52/583.92 = 196.56/x
  3. Step 3: Cross multiply
    389.52x = 583.92 × 196.56
  4. Step 4: Simplify right side
    389.52x = 114,775.32
  5. Step 5: Solve for x
    x = 114,775.32/389.52
  6. Step 6: Final answer
    x = 294.66

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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.