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Finding the Fourth Proportional to 378.90, 564.37 and 361.13

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Solution

The fourth proportional to 378.90, 564.37 and 361.13 is: 537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.90 : 564.37 = 361.13 : x
  2. Step 2: Convert to fraction form
    378.90/564.37 = 361.13/x
  3. Step 3: Cross multiply
    378.90x = 564.37 × 361.13
  4. Step 4: Simplify right side
    378.90x = 203,807.21
  5. Step 5: Solve for x
    x = 203,807.21/378.90
  6. Step 6: Final answer
    x = 537.89

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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.