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Finding the Fourth Proportional to 343.86, 515.31 and 298.09

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Solution

The fourth proportional to 343.86, 515.31 and 298.09 is: 446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 515.31 = 298.09 : x
  2. Step 2: Convert to fraction form
    343.86/515.31 = 298.09/x
  3. Step 3: Cross multiply
    343.86x = 515.31 × 298.09
  4. Step 4: Simplify right side
    343.86x = 153,608.76
  5. Step 5: Solve for x
    x = 153,608.76/343.86
  6. Step 6: Final answer
    x = 446.72

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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.