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Finding the Fourth Proportional to 164.82, 227.31 and 127.98

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Solution

The fourth proportional to 164.82, 227.31 and 127.98 is: 176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 227.31 = 127.98 : x
  2. Step 2: Convert to fraction form
    164.82/227.31 = 127.98/x
  3. Step 3: Cross multiply
    164.82x = 227.31 × 127.98
  4. Step 4: Simplify right side
    164.82x = 29,091.13
  5. Step 5: Solve for x
    x = 29,091.13/164.82
  6. Step 6: Final answer
    x = 176.50

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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.