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Finding the Fourth Proportional to 270.32, 405.20 and 107.78

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Solution

The fourth proportional to 270.32, 405.20 and 107.78 is: 161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 405.20 = 107.78 : x
  2. Step 2: Convert to fraction form
    270.32/405.20 = 107.78/x
  3. Step 3: Cross multiply
    270.32x = 405.20 × 107.78
  4. Step 4: Simplify right side
    270.32x = 43,669.89
  5. Step 5: Solve for x
    x = 43,669.89/270.32
  6. Step 6: Final answer
    x = 161.55

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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.