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Finding the Fourth Proportional to 299.46, 448.77 and 136.86

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Solution

The fourth proportional to 299.46, 448.77 and 136.86 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 448.77 = 136.86 : x
  2. Step 2: Convert to fraction form
    299.46/448.77 = 136.86/x
  3. Step 3: Cross multiply
    299.46x = 448.77 × 136.86
  4. Step 4: Simplify right side
    299.46x = 61,418.66
  5. Step 5: Solve for x
    x = 61,418.66/299.46
  6. Step 6: Final answer
    x = 205.10

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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.