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Finding the Fourth Proportional to 361.37, 498.38 and 324.92

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Solution

The fourth proportional to 361.37, 498.38 and 324.92 is: 448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.37 : 498.38 = 324.92 : x
  2. Step 2: Convert to fraction form
    361.37/498.38 = 324.92/x
  3. Step 3: Cross multiply
    361.37x = 498.38 × 324.92
  4. Step 4: Simplify right side
    361.37x = 161,933.63
  5. Step 5: Solve for x
    x = 161,933.63/361.37
  6. Step 6: Final answer
    x = 448.11

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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.