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Finding the Fourth Proportional to 426.85, 640.46 and 272.74

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Solution

The fourth proportional to 426.85, 640.46 and 272.74 is: 409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.85 : 640.46 = 272.74 : x
  2. Step 2: Convert to fraction form
    426.85/640.46 = 272.74/x
  3. Step 3: Cross multiply
    426.85x = 640.46 × 272.74
  4. Step 4: Simplify right side
    426.85x = 174,679.06
  5. Step 5: Solve for x
    x = 174,679.06/426.85
  6. Step 6: Final answer
    x = 409.23

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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.