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Finding the Fourth Proportional to 270.86, 406.26 and 162.50

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Solution

The fourth proportional to 270.86, 406.26 and 162.50 is: 243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.86 : 406.26 = 162.50 : x
  2. Step 2: Convert to fraction form
    270.86/406.26 = 162.50/x
  3. Step 3: Cross multiply
    270.86x = 406.26 × 162.50
  4. Step 4: Simplify right side
    270.86x = 66,017.25
  5. Step 5: Solve for x
    x = 66,017.25/270.86
  6. Step 6: Final answer
    x = 243.73

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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.