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Finding the Fourth Proportional to 136.49, 205.74 and 127.98

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Solution

The fourth proportional to 136.49, 205.74 and 127.98 is: 192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.49 : 205.74 = 127.98 : x
  2. Step 2: Convert to fraction form
    136.49/205.74 = 127.98/x
  3. Step 3: Cross multiply
    136.49x = 205.74 × 127.98
  4. Step 4: Simplify right side
    136.49x = 26,330.61
  5. Step 5: Solve for x
    x = 26,330.61/136.49
  6. Step 6: Final answer
    x = 192.92

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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.