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Finding the Fourth Proportional to 241.70, 331.89 and 230.90

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Solution

The fourth proportional to 241.70, 331.89 and 230.90 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.70 : 331.89 = 230.90 : x
  2. Step 2: Convert to fraction form
    241.70/331.89 = 230.90/x
  3. Step 3: Cross multiply
    241.70x = 331.89 × 230.90
  4. Step 4: Simplify right side
    241.70x = 76,632.25
  5. Step 5: Solve for x
    x = 76,632.25/241.70
  6. Step 6: Final answer
    x = 317.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.