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Finding the Fourth Proportional to 192, 265.14 and 140.16

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Solution

The fourth proportional to 192, 265.14 and 140.16 is: 193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192 : 265.14 = 140.16 : x
  2. Step 2: Convert to fraction form
    192/265.14 = 140.16/x
  3. Step 3: Cross multiply
    192x = 265.14 × 140.16
  4. Step 4: Simplify right side
    192x = 37,162.02
  5. Step 5: Solve for x
    x = 37,162.02/192
  6. Step 6: Final answer
    x = 193.55

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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.