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Finding the Fourth Proportional to 481.31, 664.31 and 313.47

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Solution

The fourth proportional to 481.31, 664.31 and 313.47 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.31 : 664.31 = 313.47 : x
  2. Step 2: Convert to fraction form
    481.31/664.31 = 313.47/x
  3. Step 3: Cross multiply
    481.31x = 664.31 × 313.47
  4. Step 4: Simplify right side
    481.31x = 208,239.69
  5. Step 5: Solve for x
    x = 208,239.69/481.31
  6. Step 6: Final answer
    x = 432.66

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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.