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Finding the Fourth Proportional to 352.38, 527.93 and 198.08

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Solution

The fourth proportional to 352.38, 527.93 and 198.08 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.38 : 527.93 = 198.08 : x
  2. Step 2: Convert to fraction form
    352.38/527.93 = 198.08/x
  3. Step 3: Cross multiply
    352.38x = 527.93 × 198.08
  4. Step 4: Simplify right side
    352.38x = 104,568.74
  5. Step 5: Solve for x
    x = 104,568.74/352.38
  6. Step 6: Final answer
    x = 296.75

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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.