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Finding the Fourth Proportional to 200.50, 298.85 and 188.66

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Solution

The fourth proportional to 200.50, 298.85 and 188.66 is: 281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.50 : 298.85 = 188.66 : x
  2. Step 2: Convert to fraction form
    200.50/298.85 = 188.66/x
  3. Step 3: Cross multiply
    200.50x = 298.85 × 188.66
  4. Step 4: Simplify right side
    200.50x = 56,380.84
  5. Step 5: Solve for x
    x = 56,380.84/200.50
  6. Step 6: Final answer
    x = 281.20

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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.