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Finding the Fourth Proportional to 343.26, 471.78 and 293.76

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Solution

The fourth proportional to 343.26, 471.78 and 293.76 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.26 : 471.78 = 293.76 : x
  2. Step 2: Convert to fraction form
    343.26/471.78 = 293.76/x
  3. Step 3: Cross multiply
    343.26x = 471.78 × 293.76
  4. Step 4: Simplify right side
    343.26x = 138,590.09
  5. Step 5: Solve for x
    x = 138,590.09/343.26
  6. Step 6: Final answer
    x = 403.75

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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.