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Finding the Fourth Proportional to 266.55, 401.86 and 263.09

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Solution

The fourth proportional to 266.55, 401.86 and 263.09 is: 396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.55 : 401.86 = 263.09 : x
  2. Step 2: Convert to fraction form
    266.55/401.86 = 263.09/x
  3. Step 3: Cross multiply
    266.55x = 401.86 × 263.09
  4. Step 4: Simplify right side
    266.55x = 105,726.68
  5. Step 5: Solve for x
    x = 105,726.68/266.55
  6. Step 6: Final answer
    x = 396.65

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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.