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Finding the Fourth Proportional to 140.36, 192.54 and 136.77

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Solution

The fourth proportional to 140.36, 192.54 and 136.77 is: 187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.36 : 192.54 = 136.77 : x
  2. Step 2: Convert to fraction form
    140.36/192.54 = 136.77/x
  3. Step 3: Cross multiply
    140.36x = 192.54 × 136.77
  4. Step 4: Simplify right side
    140.36x = 26,333.70
  5. Step 5: Solve for x
    x = 26,333.70/140.36
  6. Step 6: Final answer
    x = 187.62

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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.