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Finding the Fourth Proportional to 260.69, 387.92 and 259.47

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Solution

The fourth proportional to 260.69, 387.92 and 259.47 is: 386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.69 : 387.92 = 259.47 : x
  2. Step 2: Convert to fraction form
    260.69/387.92 = 259.47/x
  3. Step 3: Cross multiply
    260.69x = 387.92 × 259.47
  4. Step 4: Simplify right side
    260.69x = 100,654.25
  5. Step 5: Solve for x
    x = 100,654.25/260.69
  6. Step 6: Final answer
    x = 386.11

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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.