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Finding the Fourth Proportional to 293.36, 402.69 and 259.88

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Solution

The fourth proportional to 293.36, 402.69 and 259.88 is: 356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.36 : 402.69 = 259.88 : x
  2. Step 2: Convert to fraction form
    293.36/402.69 = 259.88/x
  3. Step 3: Cross multiply
    293.36x = 402.69 × 259.88
  4. Step 4: Simplify right side
    293.36x = 104,651.08
  5. Step 5: Solve for x
    x = 104,651.08/293.36
  6. Step 6: Final answer
    x = 356.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.