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Finding the Fourth Proportional to 454.24, 680.93 and 361.46

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Solution

The fourth proportional to 454.24, 680.93 and 361.46 is: 541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.24 : 680.93 = 361.46 : x
  2. Step 2: Convert to fraction form
    454.24/680.93 = 361.46/x
  3. Step 3: Cross multiply
    454.24x = 680.93 × 361.46
  4. Step 4: Simplify right side
    454.24x = 246,131.22
  5. Step 5: Solve for x
    x = 246,131.22/454.24
  6. Step 6: Final answer
    x = 541.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.