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Finding the Fourth Proportional to 192.96, 265.94 and 137.40

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Solution

The fourth proportional to 192.96, 265.94 and 137.40 is: 189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.96 : 265.94 = 137.40 : x
  2. Step 2: Convert to fraction form
    192.96/265.94 = 137.40/x
  3. Step 3: Cross multiply
    192.96x = 265.94 × 137.40
  4. Step 4: Simplify right side
    192.96x = 36,540.16
  5. Step 5: Solve for x
    x = 36,540.16/192.96
  6. Step 6: Final answer
    x = 189.37

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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.