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Finding the Fourth Proportional to 168.47, 233.48 and 165.91

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Solution

The fourth proportional to 168.47, 233.48 and 165.91 is: 229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.47 : 233.48 = 165.91 : x
  2. Step 2: Convert to fraction form
    168.47/233.48 = 165.91/x
  3. Step 3: Cross multiply
    168.47x = 233.48 × 165.91
  4. Step 4: Simplify right side
    168.47x = 38,735.50
  5. Step 5: Solve for x
    x = 38,735.50/168.47
  6. Step 6: Final answer
    x = 229.93

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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.