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Finding the Fourth Proportional to 361.89, 540.63 and 230.84

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Solution

The fourth proportional to 361.89, 540.63 and 230.84 is: 344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 540.63 = 230.84 : x
  2. Step 2: Convert to fraction form
    361.89/540.63 = 230.84/x
  3. Step 3: Cross multiply
    361.89x = 540.63 × 230.84
  4. Step 4: Simplify right side
    361.89x = 124,800.38
  5. Step 5: Solve for x
    x = 124,800.38/361.89
  6. Step 6: Final answer
    x = 344.86

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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.