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Finding the Fourth Proportional to 229.70, 344.59 and 133.31

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Solution

The fourth proportional to 229.70, 344.59 and 133.31 is: 199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.70 : 344.59 = 133.31 : x
  2. Step 2: Convert to fraction form
    229.70/344.59 = 133.31/x
  3. Step 3: Cross multiply
    229.70x = 344.59 × 133.31
  4. Step 4: Simplify right side
    229.70x = 45,937.82
  5. Step 5: Solve for x
    x = 45,937.82/229.70
  6. Step 6: Final answer
    x = 199.99

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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.