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Finding the Fourth Proportional to 229.15, 343.91 and 120.97

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Solution

The fourth proportional to 229.15, 343.91 and 120.97 is: 181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.15 : 343.91 = 120.97 : x
  2. Step 2: Convert to fraction form
    229.15/343.91 = 120.97/x
  3. Step 3: Cross multiply
    229.15x = 343.91 × 120.97
  4. Step 4: Simplify right side
    229.15x = 41,602.79
  5. Step 5: Solve for x
    x = 41,602.79/229.15
  6. Step 6: Final answer
    x = 181.55

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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.