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Finding the Fourth Proportional to 270.24, 405.12 and 107.88

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Solution

The fourth proportional to 270.24, 405.12 and 107.88 is: 161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.24 : 405.12 = 107.88 : x
  2. Step 2: Convert to fraction form
    270.24/405.12 = 107.88/x
  3. Step 3: Cross multiply
    270.24x = 405.12 × 107.88
  4. Step 4: Simplify right side
    270.24x = 43,704.35
  5. Step 5: Solve for x
    x = 43,704.35/270.24
  6. Step 6: Final answer
    x = 161.72

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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.