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Finding the Fourth Proportional to 168.39, 233.60 and 156.24

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Solution

The fourth proportional to 168.39, 233.60 and 156.24 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.39 : 233.60 = 156.24 : x
  2. Step 2: Convert to fraction form
    168.39/233.60 = 156.24/x
  3. Step 3: Cross multiply
    168.39x = 233.60 × 156.24
  4. Step 4: Simplify right side
    168.39x = 36,496.88
  5. Step 5: Solve for x
    x = 36,496.88/168.39
  6. Step 6: Final answer
    x = 216.74

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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.