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Finding the Fourth Proportional to 299.48, 448.61 and 190.88

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Solution

The fourth proportional to 299.48, 448.61 and 190.88 is: 285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.48 : 448.61 = 190.88 : x
  2. Step 2: Convert to fraction form
    299.48/448.61 = 190.88/x
  3. Step 3: Cross multiply
    299.48x = 448.61 × 190.88
  4. Step 4: Simplify right side
    299.48x = 85,627.48
  5. Step 5: Solve for x
    x = 85,627.48/299.48
  6. Step 6: Final answer
    x = 285.93

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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.