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Finding the Fourth Proportional to 229.50, 343.08 and 171.70

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Solution

The fourth proportional to 229.50, 343.08 and 171.70 is: 256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 343.08 = 171.70 : x
  2. Step 2: Convert to fraction form
    229.50/343.08 = 171.70/x
  3. Step 3: Cross multiply
    229.50x = 343.08 × 171.70
  4. Step 4: Simplify right side
    229.50x = 58,906.84
  5. Step 5: Solve for x
    x = 58,906.84/229.50
  6. Step 6: Final answer
    x = 256.67

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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.