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Finding the Fourth Proportional to 165.88, 247.58 and 144.34

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Solution

The fourth proportional to 165.88, 247.58 and 144.34 is: 215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 247.58 = 144.34 : x
  2. Step 2: Convert to fraction form
    165.88/247.58 = 144.34/x
  3. Step 3: Cross multiply
    165.88x = 247.58 × 144.34
  4. Step 4: Simplify right side
    165.88x = 35,735.70
  5. Step 5: Solve for x
    x = 35,735.70/165.88
  6. Step 6: Final answer
    x = 215.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.