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Finding the Fourth Proportional to 455.20, 681.90 and 272.04

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Solution

The fourth proportional to 455.20, 681.90 and 272.04 is: 407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.20 : 681.90 = 272.04 : x
  2. Step 2: Convert to fraction form
    455.20/681.90 = 272.04/x
  3. Step 3: Cross multiply
    455.20x = 681.90 × 272.04
  4. Step 4: Simplify right side
    455.20x = 185,504.08
  5. Step 5: Solve for x
    x = 185,504.08/455.20
  6. Step 6: Final answer
    x = 407.52

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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.