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Finding the Fourth Proportional to 426.72, 640.26 and 210.27

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Solution

The fourth proportional to 426.72, 640.26 and 210.27 is: 315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.72 : 640.26 = 210.27 : x
  2. Step 2: Convert to fraction form
    426.72/640.26 = 210.27/x
  3. Step 3: Cross multiply
    426.72x = 640.26 × 210.27
  4. Step 4: Simplify right side
    426.72x = 134,627.47
  5. Step 5: Solve for x
    x = 134,627.47/426.72
  6. Step 6: Final answer
    x = 315.49

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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.