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Finding the Fourth Proportional to 344.58, 513.18 and 323.64

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Solution

The fourth proportional to 344.58, 513.18 and 323.64 is: 481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.58 : 513.18 = 323.64 : x
  2. Step 2: Convert to fraction form
    344.58/513.18 = 323.64/x
  3. Step 3: Cross multiply
    344.58x = 513.18 × 323.64
  4. Step 4: Simplify right side
    344.58x = 166,085.58
  5. Step 5: Solve for x
    x = 166,085.58/344.58
  6. Step 6: Final answer
    x = 481.99

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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.