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Finding the Fourth Proportional to 314.70, 434.10 and 198.06

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Solution

The fourth proportional to 314.70, 434.10 and 198.06 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 434.10 = 198.06 : x
  2. Step 2: Convert to fraction form
    314.70/434.10 = 198.06/x
  3. Step 3: Cross multiply
    314.70x = 434.10 × 198.06
  4. Step 4: Simplify right side
    314.70x = 85,977.85
  5. Step 5: Solve for x
    x = 85,977.85/314.70
  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.