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Finding the Fourth Proportional to 270.79, 406.53 and 173.27

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Solution

The fourth proportional to 270.79, 406.53 and 173.27 is: 260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.79 : 406.53 = 173.27 : x
  2. Step 2: Convert to fraction form
    270.79/406.53 = 173.27/x
  3. Step 3: Cross multiply
    270.79x = 406.53 × 173.27
  4. Step 4: Simplify right side
    270.79x = 70,440.47
  5. Step 5: Solve for x
    x = 70,440.47/270.79
  6. Step 6: Final answer
    x = 260.13

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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.