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Finding the Fourth Proportional to 260.94, 389.37 and 259.43

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Solution

The fourth proportional to 260.94, 389.37 and 259.43 is: 387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 389.37 = 259.43 : x
  2. Step 2: Convert to fraction form
    260.94/389.37 = 259.43/x
  3. Step 3: Cross multiply
    260.94x = 389.37 × 259.43
  4. Step 4: Simplify right side
    260.94x = 101,013.29
  5. Step 5: Solve for x
    x = 101,013.29/260.94
  6. Step 6: Final answer
    x = 387.11

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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.