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Finding the Fourth Proportional to 229.76, 343.05 and 206.72

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Solution

The fourth proportional to 229.76, 343.05 and 206.72 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 343.05 = 206.72 : x
  2. Step 2: Convert to fraction form
    229.76/343.05 = 206.72/x
  3. Step 3: Cross multiply
    229.76x = 343.05 × 206.72
  4. Step 4: Simplify right side
    229.76x = 70,916.02
  5. Step 5: Solve for x
    x = 70,916.02/229.76
  6. Step 6: Final answer
    x = 308.65

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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.