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Finding the Fourth Proportional to 314.38, 433.78 and 198.01

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Solution

The fourth proportional to 314.38, 433.78 and 198.01 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 433.78 = 198.01 : x
  2. Step 2: Convert to fraction form
    314.38/433.78 = 198.01/x
  3. Step 3: Cross multiply
    314.38x = 433.78 × 198.01
  4. Step 4: Simplify right side
    314.38x = 85,892.78
  5. Step 5: Solve for x
    x = 85,892.78/314.38
  6. Step 6: Final answer
    x = 273.21

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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.