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Finding the Fourth Proportional to 299.21, 448.36 and 125.78

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Solution

The fourth proportional to 299.21, 448.36 and 125.78 is: 188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 448.36 = 125.78 : x
  2. Step 2: Convert to fraction form
    299.21/448.36 = 125.78/x
  3. Step 3: Cross multiply
    299.21x = 448.36 × 125.78
  4. Step 4: Simplify right side
    299.21x = 56,394.09
  5. Step 5: Solve for x
    x = 56,394.09/299.21
  6. Step 6: Final answer
    x = 188.48

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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.