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Finding the Fourth Proportional to 127.50, 191.15 and 40.78

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Solution

The fourth proportional to 127.50, 191.15 and 40.78 is: 61.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 191.15 = 40.78 : x
  2. Step 2: Convert to fraction form
    127.50/191.15 = 40.78/x
  3. Step 3: Cross multiply
    127.50x = 191.15 × 40.78
  4. Step 4: Simplify right side
    127.50x = 7,796.16
  5. Step 5: Solve for x
    x = 7,796.16/127.50
  6. Step 6: Final answer
    x = 61.15

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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.