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Finding the Fourth Proportional to 361.22, 538.14 and 343.81

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Solution

The fourth proportional to 361.22, 538.14 and 343.81 is: 512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.22 : 538.14 = 343.81 : x
  2. Step 2: Convert to fraction form
    361.22/538.14 = 343.81/x
  3. Step 3: Cross multiply
    361.22x = 538.14 × 343.81
  4. Step 4: Simplify right side
    361.22x = 185,013.50
  5. Step 5: Solve for x
    x = 185,013.50/361.22
  6. Step 6: Final answer
    x = 512.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.