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Finding the Fourth Proportional to 229.07, 343.37 and 131.46

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Solution

The fourth proportional to 229.07, 343.37 and 131.46 is: 197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.07 : 343.37 = 131.46 : x
  2. Step 2: Convert to fraction form
    229.07/343.37 = 131.46/x
  3. Step 3: Cross multiply
    229.07x = 343.37 × 131.46
  4. Step 4: Simplify right side
    229.07x = 45,139.42
  5. Step 5: Solve for x
    x = 45,139.42/229.07
  6. Step 6: Final answer
    x = 197.06

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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.