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Finding the Fourth Proportional to 199.33, 297.77 and 158.79

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Solution

The fourth proportional to 199.33, 297.77 and 158.79 is: 237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.33 : 297.77 = 158.79 : x
  2. Step 2: Convert to fraction form
    199.33/297.77 = 158.79/x
  3. Step 3: Cross multiply
    199.33x = 297.77 × 158.79
  4. Step 4: Simplify right side
    199.33x = 47,282.90
  5. Step 5: Solve for x
    x = 47,282.90/199.33
  6. Step 6: Final answer
    x = 237.21

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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.