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Finding the Fourth Proportional to 266.37, 401.25 and 263.94

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Solution

The fourth proportional to 266.37, 401.25 and 263.94 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.37 : 401.25 = 263.94 : x
  2. Step 2: Convert to fraction form
    266.37/401.25 = 263.94/x
  3. Step 3: Cross multiply
    266.37x = 401.25 × 263.94
  4. Step 4: Simplify right side
    266.37x = 105,905.93
  5. Step 5: Solve for x
    x = 105,905.93/266.37
  6. Step 6: Final answer
    x = 397.59

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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.