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Finding the Fourth Proportional to 230.34, 347.19 and 206.86

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Solution

The fourth proportional to 230.34, 347.19 and 206.86 is: 311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 347.19 = 206.86 : x
  2. Step 2: Convert to fraction form
    230.34/347.19 = 206.86/x
  3. Step 3: Cross multiply
    230.34x = 347.19 × 206.86
  4. Step 4: Simplify right side
    230.34x = 71,819.72
  5. Step 5: Solve for x
    x = 71,819.72/230.34
  6. Step 6: Final answer
    x = 311.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.