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Finding the Fourth Proportional to 230.70, 346.05 and 209.90

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Solution

The fourth proportional to 230.70, 346.05 and 209.90 is: 314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 346.05 = 209.90 : x
  2. Step 2: Convert to fraction form
    230.70/346.05 = 209.90/x
  3. Step 3: Cross multiply
    230.70x = 346.05 × 209.90
  4. Step 4: Simplify right side
    230.70x = 72,635.90
  5. Step 5: Solve for x
    x = 72,635.90/230.70
  6. Step 6: Final answer
    x = 314.85

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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.