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Finding the Fourth Proportional to 344.09, 513.46 and 335.86

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Solution

The fourth proportional to 344.09, 513.46 and 335.86 is: 501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.09 : 513.46 = 335.86 : x
  2. Step 2: Convert to fraction form
    344.09/513.46 = 335.86/x
  3. Step 3: Cross multiply
    344.09x = 513.46 × 335.86
  4. Step 4: Simplify right side
    344.09x = 172,449.81
  5. Step 5: Solve for x
    x = 172,449.81/344.09
  6. Step 6: Final answer
    x = 501.17

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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.