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Finding the Fourth Proportional to 199.36, 296.75 and 198.32

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Solution

The fourth proportional to 199.36, 296.75 and 198.32 is: 295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 296.75 = 198.32 : x
  2. Step 2: Convert to fraction form
    199.36/296.75 = 198.32/x
  3. Step 3: Cross multiply
    199.36x = 296.75 × 198.32
  4. Step 4: Simplify right side
    199.36x = 58,851.46
  5. Step 5: Solve for x
    x = 58,851.46/199.36
  6. Step 6: Final answer
    x = 295.20

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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.