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Finding the Fourth Proportional to 298.37, 447.32 and 142.11

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Solution

The fourth proportional to 298.37, 447.32 and 142.11 is: 213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.37 : 447.32 = 142.11 : x
  2. Step 2: Convert to fraction form
    298.37/447.32 = 142.11/x
  3. Step 3: Cross multiply
    298.37x = 447.32 × 142.11
  4. Step 4: Simplify right side
    298.37x = 63,568.20
  5. Step 5: Solve for x
    x = 63,568.20/298.37
  6. Step 6: Final answer
    x = 213.05

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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.