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Finding the Fourth Proportional to 481.76, 664.90 and 295.22

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Solution

The fourth proportional to 481.76, 664.90 and 295.22 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.76 : 664.90 = 295.22 : x
  2. Step 2: Convert to fraction form
    481.76/664.90 = 295.22/x
  3. Step 3: Cross multiply
    481.76x = 664.90 × 295.22
  4. Step 4: Simplify right side
    481.76x = 196,291.78
  5. Step 5: Solve for x
    x = 196,291.78/481.76
  6. Step 6: Final answer
    x = 407.45

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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.