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Finding the Fourth Proportional to 165.71, 248.54 and 104.83

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Solution

The fourth proportional to 165.71, 248.54 and 104.83 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.71 : 248.54 = 104.83 : x
  2. Step 2: Convert to fraction form
    165.71/248.54 = 104.83/x
  3. Step 3: Cross multiply
    165.71x = 248.54 × 104.83
  4. Step 4: Simplify right side
    165.71x = 26,053.30
  5. Step 5: Solve for x
    x = 26,053.30/165.71
  6. Step 6: Final answer
    x = 157.22

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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.