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Finding the Fourth Proportional to 199.84, 297.80 and 198.16

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Solution

The fourth proportional to 199.84, 297.80 and 198.16 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.84 : 297.80 = 198.16 : x
  2. Step 2: Convert to fraction form
    199.84/297.80 = 198.16/x
  3. Step 3: Cross multiply
    199.84x = 297.80 × 198.16
  4. Step 4: Simplify right side
    199.84x = 59,012.05
  5. Step 5: Solve for x
    x = 59,012.05/199.84
  6. Step 6: Final answer
    x = 295.30

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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.