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Finding the Fourth Proportional to 331.50, 457.50 and 198.72

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Solution

The fourth proportional to 331.50, 457.50 and 198.72 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.50 : 457.50 = 198.72 : x
  2. Step 2: Convert to fraction form
    331.50/457.50 = 198.72/x
  3. Step 3: Cross multiply
    331.50x = 457.50 × 198.72
  4. Step 4: Simplify right side
    331.50x = 90,914.40
  5. Step 5: Solve for x
    x = 90,914.40/331.50
  6. Step 6: Final answer
    x = 274.25

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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.