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Finding the Fourth Proportional to 344.63, 519.60 and 321.14

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Solution

The fourth proportional to 344.63, 519.60 and 321.14 is: 484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.63 : 519.60 = 321.14 : x
  2. Step 2: Convert to fraction form
    344.63/519.60 = 321.14/x
  3. Step 3: Cross multiply
    344.63x = 519.60 × 321.14
  4. Step 4: Simplify right side
    344.63x = 166,864.34
  5. Step 5: Solve for x
    x = 166,864.34/344.63
  6. Step 6: Final answer
    x = 484.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.