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Finding the Fourth Proportional to 266.76, 399.92 and 201.63

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Solution

The fourth proportional to 266.76, 399.92 and 201.63 is: 302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 399.92 = 201.63 : x
  2. Step 2: Convert to fraction form
    266.76/399.92 = 201.63/x
  3. Step 3: Cross multiply
    266.76x = 399.92 × 201.63
  4. Step 4: Simplify right side
    266.76x = 80,635.87
  5. Step 5: Solve for x
    x = 80,635.87/266.76
  6. Step 6: Final answer
    x = 302.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.