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Finding the Fourth Proportional to 129.72, 196.05 and 127.48

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Solution

The fourth proportional to 129.72, 196.05 and 127.48 is: 192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.72 : 196.05 = 127.48 : x
  2. Step 2: Convert to fraction form
    129.72/196.05 = 127.48/x
  3. Step 3: Cross multiply
    129.72x = 196.05 × 127.48
  4. Step 4: Simplify right side
    129.72x = 24,992.45
  5. Step 5: Solve for x
    x = 24,992.45/129.72
  6. Step 6: Final answer
    x = 192.66

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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.