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Finding the Fourth Proportional to 298.51, 447.63 and 161.44

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Solution

The fourth proportional to 298.51, 447.63 and 161.44 is: 242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.51 : 447.63 = 161.44 : x
  2. Step 2: Convert to fraction form
    298.51/447.63 = 161.44/x
  3. Step 3: Cross multiply
    298.51x = 447.63 × 161.44
  4. Step 4: Simplify right side
    298.51x = 72,265.39
  5. Step 5: Solve for x
    x = 72,265.39/298.51
  6. Step 6: Final answer
    x = 242.09

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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.