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Finding the Fourth Proportional to 361.62, 541.32 and 238.08

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Solution

The fourth proportional to 361.62, 541.32 and 238.08 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.62 : 541.32 = 238.08 : x
  2. Step 2: Convert to fraction form
    361.62/541.32 = 238.08/x
  3. Step 3: Cross multiply
    361.62x = 541.32 × 238.08
  4. Step 4: Simplify right side
    361.62x = 128,877.47
  5. Step 5: Solve for x
    x = 128,877.47/361.62
  6. Step 6: Final answer
    x = 356.39

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Why These Related Problems?

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