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Finding the Fourth Proportional to 268.06, 399.83 and 259.96

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Solution

The fourth proportional to 268.06, 399.83 and 259.96 is: 387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.06 : 399.83 = 259.96 : x
  2. Step 2: Convert to fraction form
    268.06/399.83 = 259.96/x
  3. Step 3: Cross multiply
    268.06x = 399.83 × 259.96
  4. Step 4: Simplify right side
    268.06x = 103,939.81
  5. Step 5: Solve for x
    x = 103,939.81/268.06
  6. Step 6: Final answer
    x = 387.75

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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.