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Finding the Fourth Proportional to 199.27, 297.75 and 158.27

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Solution

The fourth proportional to 199.27, 297.75 and 158.27 is: 236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.27 : 297.75 = 158.27 : x
  2. Step 2: Convert to fraction form
    199.27/297.75 = 158.27/x
  3. Step 3: Cross multiply
    199.27x = 297.75 × 158.27
  4. Step 4: Simplify right side
    199.27x = 47,123.40
  5. Step 5: Solve for x
    x = 47,123.40/199.27
  6. Step 6: Final answer
    x = 236.48

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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.