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Finding the Fourth Proportional to 230.82, 346.59 and 220.56

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Solution

The fourth proportional to 230.82, 346.59 and 220.56 is: 331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.82 : 346.59 = 220.56 : x
  2. Step 2: Convert to fraction form
    230.82/346.59 = 220.56/x
  3. Step 3: Cross multiply
    230.82x = 346.59 × 220.56
  4. Step 4: Simplify right side
    230.82x = 76,443.89
  5. Step 5: Solve for x
    x = 76,443.89/230.82
  6. Step 6: Final answer
    x = 331.18

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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.