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Finding the Fourth Proportional to 127.46, 191.41 and 97.23

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Solution

The fourth proportional to 127.46, 191.41 and 97.23 is: 146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.46 : 191.41 = 97.23 : x
  2. Step 2: Convert to fraction form
    127.46/191.41 = 97.23/x
  3. Step 3: Cross multiply
    127.46x = 191.41 × 97.23
  4. Step 4: Simplify right side
    127.46x = 18,611.82
  5. Step 5: Solve for x
    x = 18,611.82/127.46
  6. Step 6: Final answer
    x = 146.02

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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.