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Finding the Fourth Proportional to 361.74, 539.17 and 341.24

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Solution

The fourth proportional to 361.74, 539.17 and 341.24 is: 508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.74 : 539.17 = 341.24 : x
  2. Step 2: Convert to fraction form
    361.74/539.17 = 341.24/x
  3. Step 3: Cross multiply
    361.74x = 539.17 × 341.24
  4. Step 4: Simplify right side
    361.74x = 183,982.82
  5. Step 5: Solve for x
    x = 183,982.82/361.74
  6. Step 6: Final answer
    x = 508.61

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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.