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Finding the Fourth Proportional to 270.91, 405.93 and 108.49

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Solution

The fourth proportional to 270.91, 405.93 and 108.49 is: 162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.91 : 405.93 = 108.49 : x
  2. Step 2: Convert to fraction form
    270.91/405.93 = 108.49/x
  3. Step 3: Cross multiply
    270.91x = 405.93 × 108.49
  4. Step 4: Simplify right side
    270.91x = 44,039.35
  5. Step 5: Solve for x
    x = 44,039.35/270.91
  6. Step 6: Final answer
    x = 162.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.