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Finding the Fourth Proportional to 241.32, 360.03 and 216.96

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Solution

The fourth proportional to 241.32, 360.03 and 216.96 is: 323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.32 : 360.03 = 216.96 : x
  2. Step 2: Convert to fraction form
    241.32/360.03 = 216.96/x
  3. Step 3: Cross multiply
    241.32x = 360.03 × 216.96
  4. Step 4: Simplify right side
    241.32x = 78,112.11
  5. Step 5: Solve for x
    x = 78,112.11/241.32
  6. Step 6: Final answer
    x = 323.69

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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.