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Finding the Fourth Proportional to 270.42, 372.87 and 211.29

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Solution

The fourth proportional to 270.42, 372.87 and 211.29 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.42 : 372.87 = 211.29 : x
  2. Step 2: Convert to fraction form
    270.42/372.87 = 211.29/x
  3. Step 3: Cross multiply
    270.42x = 372.87 × 211.29
  4. Step 4: Simplify right side
    270.42x = 78,783.70
  5. Step 5: Solve for x
    x = 78,783.70/270.42
  6. Step 6: Final answer
    x = 291.34

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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.