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Finding the Fourth Proportional to 266.28, 401.91 and 266.28

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Solution

The fourth proportional to 266.28, 401.91 and 266.28 is: 401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.28 : 401.91 = 266.28 : x
  2. Step 2: Convert to fraction form
    266.28/401.91 = 266.28/x
  3. Step 3: Cross multiply
    266.28x = 401.91 × 266.28
  4. Step 4: Simplify right side
    266.28x = 107,020.59
  5. Step 5: Solve for x
    x = 107,020.59/266.28
  6. Step 6: Final answer
    x = 401.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.