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Finding the Fourth Proportional to 260.13, 391.98 and 215.48

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Solution

The fourth proportional to 260.13, 391.98 and 215.48 is: 324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.13 : 391.98 = 215.48 : x
  2. Step 2: Convert to fraction form
    260.13/391.98 = 215.48/x
  3. Step 3: Cross multiply
    260.13x = 391.98 × 215.48
  4. Step 4: Simplify right side
    260.13x = 84,463.85
  5. Step 5: Solve for x
    x = 84,463.85/260.13
  6. Step 6: Final answer
    x = 324.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.