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Finding the Fourth Proportional to 298.22, 447.14 and 144.02

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Solution

The fourth proportional to 298.22, 447.14 and 144.02 is: 215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.22 : 447.14 = 144.02 : x
  2. Step 2: Convert to fraction form
    298.22/447.14 = 144.02/x
  3. Step 3: Cross multiply
    298.22x = 447.14 × 144.02
  4. Step 4: Simplify right side
    298.22x = 64,394.15
  5. Step 5: Solve for x
    x = 64,394.15/298.22
  6. Step 6: Final answer
    x = 215.93

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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.