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Finding the Fourth Proportional to 266.83, 401.09 and 265.28

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Solution

The fourth proportional to 266.83, 401.09 and 265.28 is: 398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.83 : 401.09 = 265.28 : x
  2. Step 2: Convert to fraction form
    266.83/401.09 = 265.28/x
  3. Step 3: Cross multiply
    266.83x = 401.09 × 265.28
  4. Step 4: Simplify right side
    266.83x = 106,397.82
  5. Step 5: Solve for x
    x = 106,397.82/266.83
  6. Step 6: Final answer
    x = 398.75

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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.