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Finding the Fourth Proportional to 165.89, 247.37 and 143.21

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Solution

The fourth proportional to 165.89, 247.37 and 143.21 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.89 : 247.37 = 143.21 : x
  2. Step 2: Convert to fraction form
    165.89/247.37 = 143.21/x
  3. Step 3: Cross multiply
    165.89x = 247.37 × 143.21
  4. Step 4: Simplify right side
    165.89x = 35,423.90
  5. Step 5: Solve for x
    x = 35,423.90/165.89
  6. Step 6: Final answer
    x = 213.54

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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.