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Finding the Fourth Proportional to 140.24, 192.44 and 127.86

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Solution

The fourth proportional to 140.24, 192.44 and 127.86 is: 175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.24 : 192.44 = 127.86 : x
  2. Step 2: Convert to fraction form
    140.24/192.44 = 127.86/x
  3. Step 3: Cross multiply
    140.24x = 192.44 × 127.86
  4. Step 4: Simplify right side
    140.24x = 24,604.74
  5. Step 5: Solve for x
    x = 24,604.74/140.24
  6. Step 6: Final answer
    x = 175.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.