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Finding the Fourth Proportional to 344.52, 515.84 and 334.13

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Solution

The fourth proportional to 344.52, 515.84 and 334.13 is: 500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.52 : 515.84 = 334.13 : x
  2. Step 2: Convert to fraction form
    344.52/515.84 = 334.13/x
  3. Step 3: Cross multiply
    344.52x = 515.84 × 334.13
  4. Step 4: Simplify right side
    344.52x = 172,353.37
  5. Step 5: Solve for x
    x = 172,353.37/344.52
  6. Step 6: Final answer
    x = 500.27

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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.