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Finding the Fourth Proportional to 241.20, 326.70 and 241.20

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Solution

The fourth proportional to 241.20, 326.70 and 241.20 is: 326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.20 : 326.70 = 241.20 : x
  2. Step 2: Convert to fraction form
    241.20/326.70 = 241.20/x
  3. Step 3: Cross multiply
    241.20x = 326.70 × 241.20
  4. Step 4: Simplify right side
    241.20x = 78,800.04
  5. Step 5: Solve for x
    x = 78,800.04/241.20
  6. Step 6: Final answer
    x = 326.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.