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Finding the Fourth Proportional to 260.92, 390.79 and 240.94

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Solution

The fourth proportional to 260.92, 390.79 and 240.94 is: 360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.92 : 390.79 = 240.94 : x
  2. Step 2: Convert to fraction form
    260.92/390.79 = 240.94/x
  3. Step 3: Cross multiply
    260.92x = 390.79 × 240.94
  4. Step 4: Simplify right side
    260.92x = 94,156.94
  5. Step 5: Solve for x
    x = 94,156.94/260.92
  6. Step 6: Final answer
    x = 360.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.