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Finding the Fourth Proportional to 241.12, 359.78 and 217.90

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Solution

The fourth proportional to 241.12, 359.78 and 217.90 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.12 : 359.78 = 217.90 : x
  2. Step 2: Convert to fraction form
    241.12/359.78 = 217.90/x
  3. Step 3: Cross multiply
    241.12x = 359.78 × 217.90
  4. Step 4: Simplify right side
    241.12x = 78,396.06
  5. Step 5: Solve for x
    x = 78,396.06/241.12
  6. Step 6: Final answer
    x = 325.13

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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.