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Finding the Fourth Proportional to 199.02, 296.67 and 195.78

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Solution

The fourth proportional to 199.02, 296.67 and 195.78 is: 291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.02 : 296.67 = 195.78 : x
  2. Step 2: Convert to fraction form
    199.02/296.67 = 195.78/x
  3. Step 3: Cross multiply
    199.02x = 296.67 × 195.78
  4. Step 4: Simplify right side
    199.02x = 58,082.05
  5. Step 5: Solve for x
    x = 58,082.05/199.02
  6. Step 6: Final answer
    x = 291.84

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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.