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Finding the Fourth Proportional to 241.32, 363.64 and 215.16

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Solution

The fourth proportional to 241.32, 363.64 and 215.16 is: 324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.32 : 363.64 = 215.16 : x
  2. Step 2: Convert to fraction form
    241.32/363.64 = 215.16/x
  3. Step 3: Cross multiply
    241.32x = 363.64 × 215.16
  4. Step 4: Simplify right side
    241.32x = 78,240.78
  5. Step 5: Solve for x
    x = 78,240.78/241.32
  6. Step 6: Final answer
    x = 324.22

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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.