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Finding the Fourth Proportional to 270.73, 405.96 and 180.01

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Solution

The fourth proportional to 270.73, 405.96 and 180.01 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.73 : 405.96 = 180.01 : x
  2. Step 2: Convert to fraction form
    270.73/405.96 = 180.01/x
  3. Step 3: Cross multiply
    270.73x = 405.96 × 180.01
  4. Step 4: Simplify right side
    270.73x = 73,076.86
  5. Step 5: Solve for x
    x = 73,076.86/270.73
  6. Step 6: Final answer
    x = 269.93

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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.