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Finding the Fourth Proportional to 270.26, 372.96 and 153.83

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Solution

The fourth proportional to 270.26, 372.96 and 153.83 is: 212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.26 : 372.96 = 153.83 : x
  2. Step 2: Convert to fraction form
    270.26/372.96 = 153.83/x
  3. Step 3: Cross multiply
    270.26x = 372.96 × 153.83
  4. Step 4: Simplify right side
    270.26x = 57,372.44
  5. Step 5: Solve for x
    x = 57,372.44/270.26
  6. Step 6: Final answer
    x = 212.29

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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.