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Finding the Fourth Proportional to 127.80, 191.77 and 41.15

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Solution

The fourth proportional to 127.80, 191.77 and 41.15 is: 61.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.80 : 191.77 = 41.15 : x
  2. Step 2: Convert to fraction form
    127.80/191.77 = 41.15/x
  3. Step 3: Cross multiply
    127.80x = 191.77 × 41.15
  4. Step 4: Simplify right side
    127.80x = 7,891.34
  5. Step 5: Solve for x
    x = 7,891.34/127.80
  6. Step 6: Final answer
    x = 61.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.