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Finding the Fourth Proportional to 168.42, 231.78 and 152.91

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Solution

The fourth proportional to 168.42, 231.78 and 152.91 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.42 : 231.78 = 152.91 : x
  2. Step 2: Convert to fraction form
    168.42/231.78 = 152.91/x
  3. Step 3: Cross multiply
    168.42x = 231.78 × 152.91
  4. Step 4: Simplify right side
    168.42x = 35,441.48
  5. Step 5: Solve for x
    x = 35,441.48/168.42
  6. Step 6: Final answer
    x = 210.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.