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Finding the Fourth Proportional to 343.40, 514.46 and 229.48

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Solution

The fourth proportional to 343.40, 514.46 and 229.48 is: 343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 514.46 = 229.48 : x
  2. Step 2: Convert to fraction form
    343.40/514.46 = 229.48/x
  3. Step 3: Cross multiply
    343.40x = 514.46 × 229.48
  4. Step 4: Simplify right side
    343.40x = 118,058.28
  5. Step 5: Solve for x
    x = 118,058.28/343.40
  6. Step 6: Final answer
    x = 343.79

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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.