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Finding the Fourth Proportional to 262.88, 393.78 and 213.91

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Solution

The fourth proportional to 262.88, 393.78 and 213.91 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.88 : 393.78 = 213.91 : x
  2. Step 2: Convert to fraction form
    262.88/393.78 = 213.91/x
  3. Step 3: Cross multiply
    262.88x = 393.78 × 213.91
  4. Step 4: Simplify right side
    262.88x = 84,232.09
  5. Step 5: Solve for x
    x = 84,232.09/262.88
  6. Step 6: Final answer
    x = 320.42

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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.