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Finding the Fourth Proportional to 192.64, 265.60 and 140.80

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Solution

The fourth proportional to 192.64, 265.60 and 140.80 is: 194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.64 : 265.60 = 140.80 : x
  2. Step 2: Convert to fraction form
    192.64/265.60 = 140.80/x
  3. Step 3: Cross multiply
    192.64x = 265.60 × 140.80
  4. Step 4: Simplify right side
    192.64x = 37,396.48
  5. Step 5: Solve for x
    x = 37,396.48/192.64
  6. Step 6: Final answer
    x = 194.13

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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.