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Finding the Fourth Proportional to 361.52, 539.14 and 348.92

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Solution

The fourth proportional to 361.52, 539.14 and 348.92 is: 520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.52 : 539.14 = 348.92 : x
  2. Step 2: Convert to fraction form
    361.52/539.14 = 348.92/x
  3. Step 3: Cross multiply
    361.52x = 539.14 × 348.92
  4. Step 4: Simplify right side
    361.52x = 188,116.73
  5. Step 5: Solve for x
    x = 188,116.73/361.52
  6. Step 6: Final answer
    x = 520.35

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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.