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Finding the Fourth Proportional to 241.33, 363.64 and 215.14

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Solution

The fourth proportional to 241.33, 363.64 and 215.14 is: 324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.33 : 363.64 = 215.14 : x
  2. Step 2: Convert to fraction form
    241.33/363.64 = 215.14/x
  3. Step 3: Cross multiply
    241.33x = 363.64 × 215.14
  4. Step 4: Simplify right side
    241.33x = 78,233.51
  5. Step 5: Solve for x
    x = 78,233.51/241.33
  6. Step 6: Final answer
    x = 324.18

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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.