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Finding the Fourth Proportional to 270.85, 374.22 and 213.07

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Solution

The fourth proportional to 270.85, 374.22 and 213.07 is: 294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.85 : 374.22 = 213.07 : x
  2. Step 2: Convert to fraction form
    270.85/374.22 = 213.07/x
  3. Step 3: Cross multiply
    270.85x = 374.22 × 213.07
  4. Step 4: Simplify right side
    270.85x = 79,735.06
  5. Step 5: Solve for x
    x = 79,735.06/270.85
  6. Step 6: Final answer
    x = 294.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.