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Finding the Fourth Proportional to 199.31, 297.57 and 170.43

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Solution

The fourth proportional to 199.31, 297.57 and 170.43 is: 254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.31 : 297.57 = 170.43 : x
  2. Step 2: Convert to fraction form
    199.31/297.57 = 170.43/x
  3. Step 3: Cross multiply
    199.31x = 297.57 × 170.43
  4. Step 4: Simplify right side
    199.31x = 50,715.33
  5. Step 5: Solve for x
    x = 50,715.33/199.31
  6. Step 6: Final answer
    x = 254.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.