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Finding the Fourth Proportional to 165.82, 248.76 and 127.34

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Solution

The fourth proportional to 165.82, 248.76 and 127.34 is: 191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.82 : 248.76 = 127.34 : x
  2. Step 2: Convert to fraction form
    165.82/248.76 = 127.34/x
  3. Step 3: Cross multiply
    165.82x = 248.76 × 127.34
  4. Step 4: Simplify right side
    165.82x = 31,677.10
  5. Step 5: Solve for x
    x = 31,677.10/165.82
  6. Step 6: Final answer
    x = 191.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.