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Finding the Fourth Proportional to 361.38, 544.01 and 311.15

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Solution

The fourth proportional to 361.38, 544.01 and 311.15 is: 468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.38 : 544.01 = 311.15 : x
  2. Step 2: Convert to fraction form
    361.38/544.01 = 311.15/x
  3. Step 3: Cross multiply
    361.38x = 544.01 × 311.15
  4. Step 4: Simplify right side
    361.38x = 169,264.44
  5. Step 5: Solve for x
    x = 169,264.44/361.38
  6. Step 6: Final answer
    x = 468.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.