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Finding the Fourth Proportional to 229.35, 344.20 and 142.81

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Solution

The fourth proportional to 229.35, 344.20 and 142.81 is: 214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.35 : 344.20 = 142.81 : x
  2. Step 2: Convert to fraction form
    229.35/344.20 = 142.81/x
  3. Step 3: Cross multiply
    229.35x = 344.20 × 142.81
  4. Step 4: Simplify right side
    229.35x = 49,154.49
  5. Step 5: Solve for x
    x = 49,154.49/229.35
  6. Step 6: Final answer
    x = 214.32

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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.