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Finding the Fourth Proportional to 331.50, 457.47 and 193.50

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Solution

The fourth proportional to 331.50, 457.47 and 193.50 is: 267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.50 : 457.47 = 193.50 : x
  2. Step 2: Convert to fraction form
    331.50/457.47 = 193.50/x
  3. Step 3: Cross multiply
    331.50x = 457.47 × 193.50
  4. Step 4: Simplify right side
    331.50x = 88,520.45
  5. Step 5: Solve for x
    x = 88,520.45/331.50
  6. Step 6: Final answer
    x = 267.03

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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.