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Finding the Fourth Proportional to 454.44, 680.43 and 356.43

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Solution

The fourth proportional to 454.44, 680.43 and 356.43 is: 533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.44 : 680.43 = 356.43 : x
  2. Step 2: Convert to fraction form
    454.44/680.43 = 356.43/x
  3. Step 3: Cross multiply
    454.44x = 680.43 × 356.43
  4. Step 4: Simplify right side
    454.44x = 242,525.66
  5. Step 5: Solve for x
    x = 242,525.66/454.44
  6. Step 6: Final answer
    x = 533.68

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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.