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Finding the Fourth Proportional to 192.57, 265.86 and 127.23

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Solution

The fourth proportional to 192.57, 265.86 and 127.23 is: 175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.57 : 265.86 = 127.23 : x
  2. Step 2: Convert to fraction form
    192.57/265.86 = 127.23/x
  3. Step 3: Cross multiply
    192.57x = 265.86 × 127.23
  4. Step 4: Simplify right side
    192.57x = 33,825.37
  5. Step 5: Solve for x
    x = 33,825.37/192.57
  6. Step 6: Final answer
    x = 175.65

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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.