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Finding the Fourth Proportional to 140.00, 192.79 and 120.17

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Solution

The fourth proportional to 140.00, 192.79 and 120.17 is: 165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.00 : 192.79 = 120.17 : x
  2. Step 2: Convert to fraction form
    140.00/192.79 = 120.17/x
  3. Step 3: Cross multiply
    140.00x = 192.79 × 120.17
  4. Step 4: Simplify right side
    140.00x = 23,166.61
  5. Step 5: Solve for x
    x = 23,166.61/140.00
  6. Step 6: Final answer
    x = 165.48

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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.