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Finding the Fourth Proportional to 200.19, 298.31 and 193.66

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Solution

The fourth proportional to 200.19, 298.31 and 193.66 is: 288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.19 : 298.31 = 193.66 : x
  2. Step 2: Convert to fraction form
    200.19/298.31 = 193.66/x
  3. Step 3: Cross multiply
    200.19x = 298.31 × 193.66
  4. Step 4: Simplify right side
    200.19x = 57,770.71
  5. Step 5: Solve for x
    x = 57,770.71/200.19
  6. Step 6: Final answer
    x = 288.59

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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.