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Finding the Fourth Proportional to 199.37, 274.38 and 157.79

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Solution

The fourth proportional to 199.37, 274.38 and 157.79 is: 217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.37 : 274.38 = 157.79 : x
  2. Step 2: Convert to fraction form
    199.37/274.38 = 157.79/x
  3. Step 3: Cross multiply
    199.37x = 274.38 × 157.79
  4. Step 4: Simplify right side
    199.37x = 43,294.42
  5. Step 5: Solve for x
    x = 43,294.42/199.37
  6. Step 6: Final answer
    x = 217.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.