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Finding the Fourth Proportional to 608.73, 913.20 and 197.82

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Solution

The fourth proportional to 608.73, 913.20 and 197.82 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.73 : 913.20 = 197.82 : x
  2. Step 2: Convert to fraction form
    608.73/913.20 = 197.82/x
  3. Step 3: Cross multiply
    608.73x = 913.20 × 197.82
  4. Step 4: Simplify right side
    608.73x = 180,649.22
  5. Step 5: Solve for x
    x = 180,649.22/608.73
  6. Step 6: Final answer
    x = 296.76

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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.