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Finding the Fourth Proportional to 200.68, 298.74 and 199.46

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Solution

The fourth proportional to 200.68, 298.74 and 199.46 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.68 : 298.74 = 199.46 : x
  2. Step 2: Convert to fraction form
    200.68/298.74 = 199.46/x
  3. Step 3: Cross multiply
    200.68x = 298.74 × 199.46
  4. Step 4: Simplify right side
    200.68x = 59,587.05
  5. Step 5: Solve for x
    x = 59,587.05/200.68
  6. Step 6: Final answer
    x = 296.93

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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.