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Finding the Fourth Proportional to 335.90, 463.50 and 196.05

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Solution

The fourth proportional to 335.90, 463.50 and 196.05 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.90 : 463.50 = 196.05 : x
  2. Step 2: Convert to fraction form
    335.90/463.50 = 196.05/x
  3. Step 3: Cross multiply
    335.90x = 463.50 × 196.05
  4. Step 4: Simplify right side
    335.90x = 90,869.18
  5. Step 5: Solve for x
    x = 90,869.18/335.90
  6. Step 6: Final answer
    x = 270.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.