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Finding the Fourth Proportional to 454.96, 682.72 and 272.40

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Solution

The fourth proportional to 454.96, 682.72 and 272.40 is: 408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.96 : 682.72 = 272.40 : x
  2. Step 2: Convert to fraction form
    454.96/682.72 = 272.40/x
  3. Step 3: Cross multiply
    454.96x = 682.72 × 272.40
  4. Step 4: Simplify right side
    454.96x = 185,972.93
  5. Step 5: Solve for x
    x = 185,972.93/454.96
  6. Step 6: Final answer
    x = 408.77

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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.