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Finding the Fourth Proportional to 234.21, 323.05 and 151.19

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Solution

The fourth proportional to 234.21, 323.05 and 151.19 is: 208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.21 : 323.05 = 151.19 : x
  2. Step 2: Convert to fraction form
    234.21/323.05 = 151.19/x
  3. Step 3: Cross multiply
    234.21x = 323.05 × 151.19
  4. Step 4: Simplify right side
    234.21x = 48,841.93
  5. Step 5: Solve for x
    x = 48,841.93/234.21
  6. Step 6: Final answer
    x = 208.54

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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.