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Finding the Fourth Proportional to 270.06, 404.07 and 165.57

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Solution

The fourth proportional to 270.06, 404.07 and 165.57 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.06 : 404.07 = 165.57 : x
  2. Step 2: Convert to fraction form
    270.06/404.07 = 165.57/x
  3. Step 3: Cross multiply
    270.06x = 404.07 × 165.57
  4. Step 4: Simplify right side
    270.06x = 66,901.87
  5. Step 5: Solve for x
    x = 66,901.87/270.06
  6. Step 6: Final answer
    x = 247.73

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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.