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Finding the Fourth Proportional to 234.55, 323.74 and 155.83

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Solution

The fourth proportional to 234.55, 323.74 and 155.83 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.55 : 323.74 = 155.83 : x
  2. Step 2: Convert to fraction form
    234.55/323.74 = 155.83/x
  3. Step 3: Cross multiply
    234.55x = 323.74 × 155.83
  4. Step 4: Simplify right side
    234.55x = 50,448.40
  5. Step 5: Solve for x
    x = 50,448.40/234.55
  6. Step 6: Final answer
    x = 215.09

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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.