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Finding the Fourth Proportional to 234.83, 351.28 and 193.23

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Solution

The fourth proportional to 234.83, 351.28 and 193.23 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.83 : 351.28 = 193.23 : x
  2. Step 2: Convert to fraction form
    234.83/351.28 = 193.23/x
  3. Step 3: Cross multiply
    234.83x = 351.28 × 193.23
  4. Step 4: Simplify right side
    234.83x = 67,878.08
  5. Step 5: Solve for x
    x = 67,878.08/234.83
  6. Step 6: Final answer
    x = 289.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.