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Finding the Fourth Proportional to 200.27, 298.80 and 178.34

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Solution

The fourth proportional to 200.27, 298.80 and 178.34 is: 266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.27 : 298.80 = 178.34 : x
  2. Step 2: Convert to fraction form
    200.27/298.80 = 178.34/x
  3. Step 3: Cross multiply
    200.27x = 298.80 × 178.34
  4. Step 4: Simplify right side
    200.27x = 53,286.50
  5. Step 5: Solve for x
    x = 53,286.50/200.27
  6. Step 6: Final answer
    x = 266.08

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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.