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Finding the Fourth Proportional to 136.29, 205.46 and 127.48

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Solution

The fourth proportional to 136.29, 205.46 and 127.48 is: 192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.29 : 205.46 = 127.48 : x
  2. Step 2: Convert to fraction form
    136.29/205.46 = 127.48/x
  3. Step 3: Cross multiply
    136.29x = 205.46 × 127.48
  4. Step 4: Simplify right side
    136.29x = 26,192.96
  5. Step 5: Solve for x
    x = 26,192.96/136.29
  6. Step 6: Final answer
    x = 192.18

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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.