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Finding the Fourth Proportional to 260.09, 387.86 and 220.91

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Solution

The fourth proportional to 260.09, 387.86 and 220.91 is: 329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.09 : 387.86 = 220.91 : x
  2. Step 2: Convert to fraction form
    260.09/387.86 = 220.91/x
  3. Step 3: Cross multiply
    260.09x = 387.86 × 220.91
  4. Step 4: Simplify right side
    260.09x = 85,681.91
  5. Step 5: Solve for x
    x = 85,681.91/260.09
  6. Step 6: Final answer
    x = 329.43

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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.