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Finding the Fourth Proportional to 200.22, 298.50 and 179.70

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Solution

The fourth proportional to 200.22, 298.50 and 179.70 is: 267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 298.50 = 179.70 : x
  2. Step 2: Convert to fraction form
    200.22/298.50 = 179.70/x
  3. Step 3: Cross multiply
    200.22x = 298.50 × 179.70
  4. Step 4: Simplify right side
    200.22x = 53,640.45
  5. Step 5: Solve for x
    x = 53,640.45/200.22
  6. Step 6: Final answer
    x = 267.91

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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.