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Finding the Fourth Proportional to 192.57, 265.77 and 127.22

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Solution

The fourth proportional to 192.57, 265.77 and 127.22 is: 175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.57 : 265.77 = 127.22 : x
  2. Step 2: Convert to fraction form
    192.57/265.77 = 127.22/x
  3. Step 3: Cross multiply
    192.57x = 265.77 × 127.22
  4. Step 4: Simplify right side
    192.57x = 33,809.93
  5. Step 5: Solve for x
    x = 33,809.93/192.57
  6. Step 6: Final answer
    x = 175.57

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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.