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Finding the Fourth Proportional to 199.28, 297.66 and 158.58

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Solution

The fourth proportional to 199.28, 297.66 and 158.58 is: 236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.28 : 297.66 = 158.58 : x
  2. Step 2: Convert to fraction form
    199.28/297.66 = 158.58/x
  3. Step 3: Cross multiply
    199.28x = 297.66 × 158.58
  4. Step 4: Simplify right side
    199.28x = 47,202.92
  5. Step 5: Solve for x
    x = 47,202.92/199.28
  6. Step 6: Final answer
    x = 236.87

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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.