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Finding the Fourth Proportional to 361.98, 540.06 and 344.55

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Solution

The fourth proportional to 361.98, 540.06 and 344.55 is: 514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 540.06 = 344.55 : x
  2. Step 2: Convert to fraction form
    361.98/540.06 = 344.55/x
  3. Step 3: Cross multiply
    361.98x = 540.06 × 344.55
  4. Step 4: Simplify right side
    361.98x = 186,078.41
  5. Step 5: Solve for x
    x = 186,078.41/361.98
  6. Step 6: Final answer
    x = 514.06

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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.