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Finding the Fourth Proportional to 401.00, 600.71 and 263.79

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Solution

The fourth proportional to 401.00, 600.71 and 263.79 is: 395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.00 : 600.71 = 263.79 : x
  2. Step 2: Convert to fraction form
    401.00/600.71 = 263.79/x
  3. Step 3: Cross multiply
    401.00x = 600.71 × 263.79
  4. Step 4: Simplify right side
    401.00x = 158,459.97
  5. Step 5: Solve for x
    x = 158,459.97/401.00
  6. Step 6: Final answer
    x = 395.17

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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.