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Finding the Fourth Proportional to 229.81, 343.02 and 213.76

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Solution

The fourth proportional to 229.81, 343.02 and 213.76 is: 319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.81 : 343.02 = 213.76 : x
  2. Step 2: Convert to fraction form
    229.81/343.02 = 213.76/x
  3. Step 3: Cross multiply
    229.81x = 343.02 × 213.76
  4. Step 4: Simplify right side
    229.81x = 73,323.96
  5. Step 5: Solve for x
    x = 73,323.96/229.81
  6. Step 6: Final answer
    x = 319.06

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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.