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Finding the Fourth Proportional to 198.54, 296.01 and 193.32

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Solution

The fourth proportional to 198.54, 296.01 and 193.32 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 296.01 = 193.32 : x
  2. Step 2: Convert to fraction form
    198.54/296.01 = 193.32/x
  3. Step 3: Cross multiply
    198.54x = 296.01 × 193.32
  4. Step 4: Simplify right side
    198.54x = 57,224.65
  5. Step 5: Solve for x
    x = 57,224.65/198.54
  6. Step 6: Final answer
    x = 288.23

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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.