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Finding the Fourth Proportional to 454.91, 682.53 and 180.92

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Solution

The fourth proportional to 454.91, 682.53 and 180.92 is: 271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.91 : 682.53 = 180.92 : x
  2. Step 2: Convert to fraction form
    454.91/682.53 = 180.92/x
  3. Step 3: Cross multiply
    454.91x = 682.53 × 180.92
  4. Step 4: Simplify right side
    454.91x = 123,479.91
  5. Step 5: Solve for x
    x = 123,479.91/454.91
  6. Step 6: Final answer
    x = 271.44

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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.