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Finding the Fourth Proportional to 299.06, 448.78 and 154.88

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Solution

The fourth proportional to 299.06, 448.78 and 154.88 is: 232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 448.78 = 154.88 : x
  2. Step 2: Convert to fraction form
    299.06/448.78 = 154.88/x
  3. Step 3: Cross multiply
    299.06x = 448.78 × 154.88
  4. Step 4: Simplify right side
    299.06x = 69,507.05
  5. Step 5: Solve for x
    x = 69,507.05/299.06
  6. Step 6: Final answer
    x = 232.42

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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.