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Finding the Fourth Proportional to 641.22, 961.41 and 230.15

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Solution

The fourth proportional to 641.22, 961.41 and 230.15 is: 345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.22 : 961.41 = 230.15 : x
  2. Step 2: Convert to fraction form
    641.22/961.41 = 230.15/x
  3. Step 3: Cross multiply
    641.22x = 961.41 × 230.15
  4. Step 4: Simplify right side
    641.22x = 221,268.51
  5. Step 5: Solve for x
    x = 221,268.51/641.22
  6. Step 6: Final answer
    x = 345.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.