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Finding the Fourth Proportional to 331.09, 457.13 and 206.80

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Solution

The fourth proportional to 331.09, 457.13 and 206.80 is: 285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.09 : 457.13 = 206.80 : x
  2. Step 2: Convert to fraction form
    331.09/457.13 = 206.80/x
  3. Step 3: Cross multiply
    331.09x = 457.13 × 206.80
  4. Step 4: Simplify right side
    331.09x = 94,534.48
  5. Step 5: Solve for x
    x = 94,534.48/331.09
  6. Step 6: Final answer
    x = 285.53

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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.