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Finding the Fourth Proportional to 127.22, 175.56 and 83.58

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Solution

The fourth proportional to 127.22, 175.56 and 83.58 is: 115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 175.56 = 83.58 : x
  2. Step 2: Convert to fraction form
    127.22/175.56 = 83.58/x
  3. Step 3: Cross multiply
    127.22x = 175.56 × 83.58
  4. Step 4: Simplify right side
    127.22x = 14,673.30
  5. Step 5: Solve for x
    x = 14,673.30/127.22
  6. Step 6: Final answer
    x = 115.34

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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.