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Finding the Fourth Proportional to 230, 345.42 and 211.69

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Solution

The fourth proportional to 230, 345.42 and 211.69 is: 317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 345.42 = 211.69 : x
  2. Step 2: Convert to fraction form
    230/345.42 = 211.69/x
  3. Step 3: Cross multiply
    230x = 345.42 × 211.69
  4. Step 4: Simplify right side
    230x = 73,121.96
  5. Step 5: Solve for x
    x = 73,121.96/230
  6. Step 6: Final answer
    x = 317.92

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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.