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Finding the Fourth Proportional to 259.25, 357.30 and 239.69

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Solution

The fourth proportional to 259.25, 357.30 and 239.69 is: 330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 357.30 = 239.69 : x
  2. Step 2: Convert to fraction form
    259.25/357.30 = 239.69/x
  3. Step 3: Cross multiply
    259.25x = 357.30 × 239.69
  4. Step 4: Simplify right side
    259.25x = 85,641.24
  5. Step 5: Solve for x
    x = 85,641.24/259.25
  6. Step 6: Final answer
    x = 330.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.