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Finding the Fourth Proportional to 127.24, 191.53 and 97.18

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Solution

The fourth proportional to 127.24, 191.53 and 97.18 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.24 : 191.53 = 97.18 : x
  2. Step 2: Convert to fraction form
    127.24/191.53 = 97.18/x
  3. Step 3: Cross multiply
    127.24x = 191.53 × 97.18
  4. Step 4: Simplify right side
    127.24x = 18,612.89
  5. Step 5: Solve for x
    x = 18,612.89/127.24
  6. Step 6: Final answer
    x = 146.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.