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Finding the Fourth Proportional to 268.22, 399.74 and 262.82

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Solution

The fourth proportional to 268.22, 399.74 and 262.82 is: 391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.22 : 399.74 = 262.82 : x
  2. Step 2: Convert to fraction form
    268.22/399.74 = 262.82/x
  3. Step 3: Cross multiply
    268.22x = 399.74 × 262.82
  4. Step 4: Simplify right side
    268.22x = 105,059.67
  5. Step 5: Solve for x
    x = 105,059.67/268.22
  6. Step 6: Final answer
    x = 391.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.