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Finding the Fourth Proportional to 192.96, 266.42 and 140.40

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Solution

The fourth proportional to 192.96, 266.42 and 140.40 is: 193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.96 : 266.42 = 140.40 : x
  2. Step 2: Convert to fraction form
    192.96/266.42 = 140.40/x
  3. Step 3: Cross multiply
    192.96x = 266.42 × 140.40
  4. Step 4: Simplify right side
    192.96x = 37,405.37
  5. Step 5: Solve for x
    x = 37,405.37/192.96
  6. Step 6: Final answer
    x = 193.85

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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.