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Finding the Fourth Proportional to 268.67, 399.83 and 259.91

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Solution

The fourth proportional to 268.67, 399.83 and 259.91 is: 386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.67 : 399.83 = 259.91 : x
  2. Step 2: Convert to fraction form
    268.67/399.83 = 259.91/x
  3. Step 3: Cross multiply
    268.67x = 399.83 × 259.91
  4. Step 4: Simplify right side
    268.67x = 103,916.52
  5. Step 5: Solve for x
    x = 103,916.52/268.67
  6. Step 6: Final answer
    x = 386.79

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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.