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Finding the Fourth Proportional to 198.84, 297.02 and 188.50

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Solution

The fourth proportional to 198.84, 297.02 and 188.50 is: 281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 297.02 = 188.50 : x
  2. Step 2: Convert to fraction form
    198.84/297.02 = 188.50/x
  3. Step 3: Cross multiply
    198.84x = 297.02 × 188.50
  4. Step 4: Simplify right side
    198.84x = 55,988.27
  5. Step 5: Solve for x
    x = 55,988.27/198.84
  6. Step 6: Final answer
    x = 281.57

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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.