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Finding the Fourth Proportional to 270.20, 377.80 and 270.20

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Solution

The fourth proportional to 270.20, 377.80 and 270.20 is: 377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.20 : 377.80 = 270.20 : x
  2. Step 2: Convert to fraction form
    270.20/377.80 = 270.20/x
  3. Step 3: Cross multiply
    270.20x = 377.80 × 270.20
  4. Step 4: Simplify right side
    270.20x = 102,081.56
  5. Step 5: Solve for x
    x = 102,081.56/270.20
  6. Step 6: Final answer
    x = 377.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.