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Finding the Fourth Proportional to 200.06, 298.81 and 161.63

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Solution

The fourth proportional to 200.06, 298.81 and 161.63 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 298.81 = 161.63 : x
  2. Step 2: Convert to fraction form
    200.06/298.81 = 161.63/x
  3. Step 3: Cross multiply
    200.06x = 298.81 × 161.63
  4. Step 4: Simplify right side
    200.06x = 48,296.66
  5. Step 5: Solve for x
    x = 48,296.66/200.06
  6. Step 6: Final answer
    x = 241.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.