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Finding the Fourth Proportional to 343.69, 471.50 and 333.29

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Solution

The fourth proportional to 343.69, 471.50 and 333.29 is: 457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.69 : 471.50 = 333.29 : x
  2. Step 2: Convert to fraction form
    343.69/471.50 = 333.29/x
  3. Step 3: Cross multiply
    343.69x = 471.50 × 333.29
  4. Step 4: Simplify right side
    343.69x = 157,144.73
  5. Step 5: Solve for x
    x = 157,144.73/343.69
  6. Step 6: Final answer
    x = 457.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.