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Finding the Fourth Proportional to 641.00, 884.36 and 361.19

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Solution

The fourth proportional to 641.00, 884.36 and 361.19 is: 498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.00 : 884.36 = 361.19 : x
  2. Step 2: Convert to fraction form
    641.00/884.36 = 361.19/x
  3. Step 3: Cross multiply
    641.00x = 884.36 × 361.19
  4. Step 4: Simplify right side
    641.00x = 319,425.10
  5. Step 5: Solve for x
    x = 319,425.10/641.00
  6. Step 6: Final answer
    x = 498.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.