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Finding the Fourth Proportional to 140.06, 192.81 and 127.78

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Solution

The fourth proportional to 140.06, 192.81 and 127.78 is: 175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.06 : 192.81 = 127.78 : x
  2. Step 2: Convert to fraction form
    140.06/192.81 = 127.78/x
  3. Step 3: Cross multiply
    140.06x = 192.81 × 127.78
  4. Step 4: Simplify right side
    140.06x = 24,637.26
  5. Step 5: Solve for x
    x = 24,637.26/140.06
  6. Step 6: Final answer
    x = 175.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.