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Finding the Fourth Proportional to 229.47, 343.74 and 213.47

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Solution

The fourth proportional to 229.47, 343.74 and 213.47 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.47 : 343.74 = 213.47 : x
  2. Step 2: Convert to fraction form
    229.47/343.74 = 213.47/x
  3. Step 3: Cross multiply
    229.47x = 343.74 × 213.47
  4. Step 4: Simplify right side
    229.47x = 73,376.46
  5. Step 5: Solve for x
    x = 73,376.46/229.47
  6. Step 6: Final answer
    x = 319.77

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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.