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Finding the Fourth Proportional to 270.63, 406.17 and 173.09

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Solution

The fourth proportional to 270.63, 406.17 and 173.09 is: 259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.63 : 406.17 = 173.09 : x
  2. Step 2: Convert to fraction form
    270.63/406.17 = 173.09/x
  3. Step 3: Cross multiply
    270.63x = 406.17 × 173.09
  4. Step 4: Simplify right side
    270.63x = 70,301.93
  5. Step 5: Solve for x
    x = 70,301.93/270.63
  6. Step 6: Final answer
    x = 259.77

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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.