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Finding the Fourth Proportional to 198.61, 296.24 and 192.53

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Solution

The fourth proportional to 198.61, 296.24 and 192.53 is: 287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.61 : 296.24 = 192.53 : x
  2. Step 2: Convert to fraction form
    198.61/296.24 = 192.53/x
  3. Step 3: Cross multiply
    198.61x = 296.24 × 192.53
  4. Step 4: Simplify right side
    198.61x = 57,035.23
  5. Step 5: Solve for x
    x = 57,035.23/198.61
  6. Step 6: Final answer
    x = 287.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.