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Finding the Fourth Proportional to 283.41, 391.77 and 252.63

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Solution

The fourth proportional to 283.41, 391.77 and 252.63 is: 349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.41 : 391.77 = 252.63 : x
  2. Step 2: Convert to fraction form
    283.41/391.77 = 252.63/x
  3. Step 3: Cross multiply
    283.41x = 391.77 × 252.63
  4. Step 4: Simplify right side
    283.41x = 98,972.86
  5. Step 5: Solve for x
    x = 98,972.86/283.41
  6. Step 6: Final answer
    x = 349.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.