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Finding the Fourth Proportional to 266.76, 367.02 and 252.84

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Solution

The fourth proportional to 266.76, 367.02 and 252.84 is: 347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 367.02 = 252.84 : x
  2. Step 2: Convert to fraction form
    266.76/367.02 = 252.84/x
  3. Step 3: Cross multiply
    266.76x = 367.02 × 252.84
  4. Step 4: Simplify right side
    266.76x = 92,797.34
  5. Step 5: Solve for x
    x = 92,797.34/266.76
  6. Step 6: Final answer
    x = 347.87

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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.