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Finding the Fourth Proportional to 260.52, 388.92 and 217.20

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Solution

The fourth proportional to 260.52, 388.92 and 217.20 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.52 : 388.92 = 217.20 : x
  2. Step 2: Convert to fraction form
    260.52/388.92 = 217.20/x
  3. Step 3: Cross multiply
    260.52x = 388.92 × 217.20
  4. Step 4: Simplify right side
    260.52x = 84,473.42
  5. Step 5: Solve for x
    x = 84,473.42/260.52
  6. Step 6: Final answer
    x = 324.25

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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.