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Finding the Fourth Proportional to 165.80, 248.28 and 125.16

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Solution

The fourth proportional to 165.80, 248.28 and 125.16 is: 187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 248.28 = 125.16 : x
  2. Step 2: Convert to fraction form
    165.80/248.28 = 125.16/x
  3. Step 3: Cross multiply
    165.80x = 248.28 × 125.16
  4. Step 4: Simplify right side
    165.80x = 31,074.72
  5. Step 5: Solve for x
    x = 31,074.72/165.80
  6. Step 6: Final answer
    x = 187.43

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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.