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Finding the Fourth Proportional to 618.51, 927.88 and 196.47

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Solution

The fourth proportional to 618.51, 927.88 and 196.47 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.51 : 927.88 = 196.47 : x
  2. Step 2: Convert to fraction form
    618.51/927.88 = 196.47/x
  3. Step 3: Cross multiply
    618.51x = 927.88 × 196.47
  4. Step 4: Simplify right side
    618.51x = 182,299.46
  5. Step 5: Solve for x
    x = 182,299.46/618.51
  6. Step 6: Final answer
    x = 294.74

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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.