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Finding the Fourth Proportional to 199.34, 299.09 and 71.10

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Solution

The fourth proportional to 199.34, 299.09 and 71.10 is: 106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 299.09 = 71.10 : x
  2. Step 2: Convert to fraction form
    199.34/299.09 = 71.10/x
  3. Step 3: Cross multiply
    199.34x = 299.09 × 71.10
  4. Step 4: Simplify right side
    199.34x = 21,265.30
  5. Step 5: Solve for x
    x = 21,265.30/199.34
  6. Step 6: Final answer
    x = 106.68

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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.