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Finding the Fourth Proportional to 235.33, 324.01 and 198.40

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Solution

The fourth proportional to 235.33, 324.01 and 198.40 is: 273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.33 : 324.01 = 198.40 : x
  2. Step 2: Convert to fraction form
    235.33/324.01 = 198.40/x
  3. Step 3: Cross multiply
    235.33x = 324.01 × 198.40
  4. Step 4: Simplify right side
    235.33x = 64,283.58
  5. Step 5: Solve for x
    x = 64,283.58/235.33
  6. Step 6: Final answer
    x = 273.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.