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Finding the Fourth Proportional to 418.20, 626.14 and 272.12

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Solution

The fourth proportional to 418.20, 626.14 and 272.12 is: 407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 626.14 = 272.12 : x
  2. Step 2: Convert to fraction form
    418.20/626.14 = 272.12/x
  3. Step 3: Cross multiply
    418.20x = 626.14 × 272.12
  4. Step 4: Simplify right side
    418.20x = 170,385.22
  5. Step 5: Solve for x
    x = 170,385.22/418.20
  6. Step 6: Final answer
    x = 407.43

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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.