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Finding the Fourth Proportional to 170.48, 236.46 and 165.52

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Solution

The fourth proportional to 170.48, 236.46 and 165.52 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.48 : 236.46 = 165.52 : x
  2. Step 2: Convert to fraction form
    170.48/236.46 = 165.52/x
  3. Step 3: Cross multiply
    170.48x = 236.46 × 165.52
  4. Step 4: Simplify right side
    170.48x = 39,138.86
  5. Step 5: Solve for x
    x = 39,138.86/170.48
  6. Step 6: Final answer
    x = 229.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.