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Finding the Fourth Proportional to 344.12, 513.18 and 311.31

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Solution

The fourth proportional to 344.12, 513.18 and 311.31 is: 464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.12 : 513.18 = 311.31 : x
  2. Step 2: Convert to fraction form
    344.12/513.18 = 311.31/x
  3. Step 3: Cross multiply
    344.12x = 513.18 × 311.31
  4. Step 4: Simplify right side
    344.12x = 159,758.07
  5. Step 5: Solve for x
    x = 159,758.07/344.12
  6. Step 6: Final answer
    x = 464.26

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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.