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Finding the Fourth Proportional to 299.23, 449.69 and 155.05

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Solution

The fourth proportional to 299.23, 449.69 and 155.05 is: 233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.23 : 449.69 = 155.05 : x
  2. Step 2: Convert to fraction form
    299.23/449.69 = 155.05/x
  3. Step 3: Cross multiply
    299.23x = 449.69 × 155.05
  4. Step 4: Simplify right side
    299.23x = 69,722.54
  5. Step 5: Solve for x
    x = 69,722.54/299.23
  6. Step 6: Final answer
    x = 233.01

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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.