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Finding the Fourth Proportional to 229.41, 344.32 and 142.91

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Solution

The fourth proportional to 229.41, 344.32 and 142.91 is: 214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.41 : 344.32 = 142.91 : x
  2. Step 2: Convert to fraction form
    229.41/344.32 = 142.91/x
  3. Step 3: Cross multiply
    229.41x = 344.32 × 142.91
  4. Step 4: Simplify right side
    229.41x = 49,206.77
  5. Step 5: Solve for x
    x = 49,206.77/229.41
  6. Step 6: Final answer
    x = 214.49

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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.