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Finding the Fourth Proportional to 314.70, 471.31 and 198.80

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Solution

The fourth proportional to 314.70, 471.31 and 198.80 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 471.31 = 198.80 : x
  2. Step 2: Convert to fraction form
    314.70/471.31 = 198.80/x
  3. Step 3: Cross multiply
    314.70x = 471.31 × 198.80
  4. Step 4: Simplify right side
    314.70x = 93,696.43
  5. Step 5: Solve for x
    x = 93,696.43/314.70
  6. Step 6: Final answer
    x = 297.73

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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.