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Finding the Fourth Proportional to 266.24, 396.96 and 261.38

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Solution

The fourth proportional to 266.24, 396.96 and 261.38 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 396.96 = 261.38 : x
  2. Step 2: Convert to fraction form
    266.24/396.96 = 261.38/x
  3. Step 3: Cross multiply
    266.24x = 396.96 × 261.38
  4. Step 4: Simplify right side
    266.24x = 103,756.40
  5. Step 5: Solve for x
    x = 103,756.40/266.24
  6. Step 6: Final answer
    x = 389.72

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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.