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Finding the Fourth Proportional to 299.35, 449.16 and 134.86

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Solution

The fourth proportional to 299.35, 449.16 and 134.86 is: 202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.35 : 449.16 = 134.86 : x
  2. Step 2: Convert to fraction form
    299.35/449.16 = 134.86/x
  3. Step 3: Cross multiply
    299.35x = 449.16 × 134.86
  4. Step 4: Simplify right side
    299.35x = 60,573.72
  5. Step 5: Solve for x
    x = 60,573.72/299.35
  6. Step 6: Final answer
    x = 202.35

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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.