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Finding the Fourth Proportional to 361.12, 544.36 and 340.24

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Solution

The fourth proportional to 361.12, 544.36 and 340.24 is: 512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.12 : 544.36 = 340.24 : x
  2. Step 2: Convert to fraction form
    361.12/544.36 = 340.24/x
  3. Step 3: Cross multiply
    361.12x = 544.36 × 340.24
  4. Step 4: Simplify right side
    361.12x = 185,213.05
  5. Step 5: Solve for x
    x = 185,213.05/361.12
  6. Step 6: Final answer
    x = 512.89

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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.