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Finding the Fourth Proportional to 335.87, 463.39 and 232.43

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Solution

The fourth proportional to 335.87, 463.39 and 232.43 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.87 : 463.39 = 232.43 : x
  2. Step 2: Convert to fraction form
    335.87/463.39 = 232.43/x
  3. Step 3: Cross multiply
    335.87x = 463.39 × 232.43
  4. Step 4: Simplify right side
    335.87x = 107,705.74
  5. Step 5: Solve for x
    x = 107,705.74/335.87
  6. Step 6: Final answer
    x = 320.68

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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.