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Finding the Fourth Proportional to 165.77, 248.42 and 84.66

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Solution

The fourth proportional to 165.77, 248.42 and 84.66 is: 126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.77 : 248.42 = 84.66 : x
  2. Step 2: Convert to fraction form
    165.77/248.42 = 84.66/x
  3. Step 3: Cross multiply
    165.77x = 248.42 × 84.66
  4. Step 4: Simplify right side
    165.77x = 21,030.81
  5. Step 5: Solve for x
    x = 21,030.81/165.77
  6. Step 6: Final answer
    x = 126.87

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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.