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Finding the Fourth Proportional to 251.30, 378.27 and 213.03

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Solution

The fourth proportional to 251.30, 378.27 and 213.03 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.30 : 378.27 = 213.03 : x
  2. Step 2: Convert to fraction form
    251.30/378.27 = 213.03/x
  3. Step 3: Cross multiply
    251.30x = 378.27 × 213.03
  4. Step 4: Simplify right side
    251.30x = 80,582.86
  5. Step 5: Solve for x
    x = 80,582.86/251.30
  6. Step 6: Final answer
    x = 320.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.