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Finding the Fourth Proportional to 299.98, 450.27 and 137.78

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Solution

The fourth proportional to 299.98, 450.27 and 137.78 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.98 : 450.27 = 137.78 : x
  2. Step 2: Convert to fraction form
    299.98/450.27 = 137.78/x
  3. Step 3: Cross multiply
    299.98x = 450.27 × 137.78
  4. Step 4: Simplify right side
    299.98x = 62,038.20
  5. Step 5: Solve for x
    x = 62,038.20/299.98
  6. Step 6: Final answer
    x = 206.81

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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.