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Finding the Fourth Proportional to 229.48, 343.76 and 137.90

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Solution

The fourth proportional to 229.48, 343.76 and 137.90 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.48 : 343.76 = 137.90 : x
  2. Step 2: Convert to fraction form
    229.48/343.76 = 137.90/x
  3. Step 3: Cross multiply
    229.48x = 343.76 × 137.90
  4. Step 4: Simplify right side
    229.48x = 47,404.50
  5. Step 5: Solve for x
    x = 47,404.50/229.48
  6. Step 6: Final answer
    x = 206.58

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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.