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Finding the Fourth Proportional to 229.08, 341.79 and 196.68

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Solution

The fourth proportional to 229.08, 341.79 and 196.68 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 341.79 = 196.68 : x
  2. Step 2: Convert to fraction form
    229.08/341.79 = 196.68/x
  3. Step 3: Cross multiply
    229.08x = 341.79 × 196.68
  4. Step 4: Simplify right side
    229.08x = 67,223.26
  5. Step 5: Solve for x
    x = 67,223.26/229.08
  6. Step 6: Final answer
    x = 293.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.