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Finding the Fourth Proportional to 234.54, 349.76 and 220.77

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Solution

The fourth proportional to 234.54, 349.76 and 220.77 is: 329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.54 : 349.76 = 220.77 : x
  2. Step 2: Convert to fraction form
    234.54/349.76 = 220.77/x
  3. Step 3: Cross multiply
    234.54x = 349.76 × 220.77
  4. Step 4: Simplify right side
    234.54x = 77,217.07
  5. Step 5: Solve for x
    x = 77,217.07/234.54
  6. Step 6: Final answer
    x = 329.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.