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Finding the Fourth Proportional to 299.20, 448.40 and 154.88

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Solution

The fourth proportional to 299.20, 448.40 and 154.88 is: 232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 448.40 = 154.88 : x
  2. Step 2: Convert to fraction form
    299.20/448.40 = 154.88/x
  3. Step 3: Cross multiply
    299.20x = 448.40 × 154.88
  4. Step 4: Simplify right side
    299.20x = 69,448.19
  5. Step 5: Solve for x
    x = 69,448.19/299.20
  6. Step 6: Final answer
    x = 232.11

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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.