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Finding the Fourth Proportional to 361.46, 538.17 and 357.14

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Solution

The fourth proportional to 361.46, 538.17 and 357.14 is: 531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.46 : 538.17 = 357.14 : x
  2. Step 2: Convert to fraction form
    361.46/538.17 = 357.14/x
  3. Step 3: Cross multiply
    361.46x = 538.17 × 357.14
  4. Step 4: Simplify right side
    361.46x = 192,200.25
  5. Step 5: Solve for x
    x = 192,200.25/361.46
  6. Step 6: Final answer
    x = 531.73

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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.