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Finding the Fourth Proportional to 481.55, 664.34 and 295.11

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Solution

The fourth proportional to 481.55, 664.34 and 295.11 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.55 : 664.34 = 295.11 : x
  2. Step 2: Convert to fraction form
    481.55/664.34 = 295.11/x
  3. Step 3: Cross multiply
    481.55x = 664.34 × 295.11
  4. Step 4: Simplify right side
    481.55x = 196,051.90
  5. Step 5: Solve for x
    x = 196,051.90/481.55
  6. Step 6: Final answer
    x = 407.13

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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.