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Finding the Fourth Proportional to 314.68, 434.28 and 198.22

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Solution

The fourth proportional to 314.68, 434.28 and 198.22 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.68 : 434.28 = 198.22 : x
  2. Step 2: Convert to fraction form
    314.68/434.28 = 198.22/x
  3. Step 3: Cross multiply
    314.68x = 434.28 × 198.22
  4. Step 4: Simplify right side
    314.68x = 86,082.98
  5. Step 5: Solve for x
    x = 86,082.98/314.68
  6. Step 6: Final answer
    x = 273.56

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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.