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Finding the Fourth Proportional to 361.20, 544.56 and 357.12

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Solution

The fourth proportional to 361.20, 544.56 and 357.12 is: 538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.20 : 544.56 = 357.12 : x
  2. Step 2: Convert to fraction form
    361.20/544.56 = 357.12/x
  3. Step 3: Cross multiply
    361.20x = 544.56 × 357.12
  4. Step 4: Simplify right side
    361.20x = 194,473.27
  5. Step 5: Solve for x
    x = 194,473.27/361.20
  6. Step 6: Final answer
    x = 538.41

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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.