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Finding the Fourth Proportional to 230.70, 344.39 and 213.81

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Solution

The fourth proportional to 230.70, 344.39 and 213.81 is: 319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 344.39 = 213.81 : x
  2. Step 2: Convert to fraction form
    230.70/344.39 = 213.81/x
  3. Step 3: Cross multiply
    230.70x = 344.39 × 213.81
  4. Step 4: Simplify right side
    230.70x = 73,632.96
  5. Step 5: Solve for x
    x = 73,632.96/230.70
  6. Step 6: Final answer
    x = 319.17

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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.