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Finding the Fourth Proportional to 331.25, 457.13 and 193.25

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Solution

The fourth proportional to 331.25, 457.13 and 193.25 is: 266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.25 : 457.13 = 193.25 : x
  2. Step 2: Convert to fraction form
    331.25/457.13 = 193.25/x
  3. Step 3: Cross multiply
    331.25x = 457.13 × 193.25
  4. Step 4: Simplify right side
    331.25x = 88,339.41
  5. Step 5: Solve for x
    x = 88,339.41/331.25
  6. Step 6: Final answer
    x = 266.69

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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.