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Finding the Fourth Proportional to 481, 664.02 and 343.24

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Solution

The fourth proportional to 481, 664.02 and 343.24 is: 473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    481 : 664.02 = 343.24 : x
  2. Step 2: Convert to fraction form
    481/664.02 = 343.24/x
  3. Step 3: Cross multiply
    481x = 664.02 × 343.24
  4. Step 4: Simplify right side
    481x = 227,918.22
  5. Step 5: Solve for x
    x = 227,918.22/481
  6. Step 6: Final answer
    x = 473.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.