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Finding the Fourth Proportional to 266.72, 367.44 and 204.64

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Solution

The fourth proportional to 266.72, 367.44 and 204.64 is: 281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.72 : 367.44 = 204.64 : x
  2. Step 2: Convert to fraction form
    266.72/367.44 = 204.64/x
  3. Step 3: Cross multiply
    266.72x = 367.44 × 204.64
  4. Step 4: Simplify right side
    266.72x = 75,192.92
  5. Step 5: Solve for x
    x = 75,192.92/266.72
  6. Step 6: Final answer
    x = 281.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.