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Finding the Fourth Proportional to 299.57, 449.10 and 195.53

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Solution

The fourth proportional to 299.57, 449.10 and 195.53 is: 293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 449.10 = 195.53 : x
  2. Step 2: Convert to fraction form
    299.57/449.10 = 195.53/x
  3. Step 3: Cross multiply
    299.57x = 449.10 × 195.53
  4. Step 4: Simplify right side
    299.57x = 87,810.28
  5. Step 5: Solve for x
    x = 87,810.28/299.57
  6. Step 6: Final answer
    x = 293.13

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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.