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Finding the Fourth Proportional to 331.36, 496.20 and 277.12

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Solution

The fourth proportional to 331.36, 496.20 and 277.12 is: 414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.36 : 496.20 = 277.12 : x
  2. Step 2: Convert to fraction form
    331.36/496.20 = 277.12/x
  3. Step 3: Cross multiply
    331.36x = 496.20 × 277.12
  4. Step 4: Simplify right side
    331.36x = 137,506.94
  5. Step 5: Solve for x
    x = 137,506.94/331.36
  6. Step 6: Final answer
    x = 414.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.