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Finding the Fourth Proportional to 199.52, 299.58 and 195.87

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Solution

The fourth proportional to 199.52, 299.58 and 195.87 is: 294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.52 : 299.58 = 195.87 : x
  2. Step 2: Convert to fraction form
    199.52/299.58 = 195.87/x
  3. Step 3: Cross multiply
    199.52x = 299.58 × 195.87
  4. Step 4: Simplify right side
    199.52x = 58,678.73
  5. Step 5: Solve for x
    x = 58,678.73/199.52
  6. Step 6: Final answer
    x = 294.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.