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Finding the Fourth Proportional to 200.30, 278.32 and 198.16

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Solution

The fourth proportional to 200.30, 278.32 and 198.16 is: 275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 278.32 = 198.16 : x
  2. Step 2: Convert to fraction form
    200.30/278.32 = 198.16/x
  3. Step 3: Cross multiply
    200.30x = 278.32 × 198.16
  4. Step 4: Simplify right side
    200.30x = 55,150.70
  5. Step 5: Solve for x
    x = 55,150.70/200.30
  6. Step 6: Final answer
    x = 275.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.