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Finding the Fourth Proportional to 270.25, 372.97 and 153.85

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Solution

The fourth proportional to 270.25, 372.97 and 153.85 is: 212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.25 : 372.97 = 153.85 : x
  2. Step 2: Convert to fraction form
    270.25/372.97 = 153.85/x
  3. Step 3: Cross multiply
    270.25x = 372.97 × 153.85
  4. Step 4: Simplify right side
    270.25x = 57,380.67
  5. Step 5: Solve for x
    x = 57,380.67/270.25
  6. Step 6: Final answer
    x = 212.32

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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.