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Finding the Fourth Proportional to 270.82, 373.89 and 219.70

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Solution

The fourth proportional to 270.82, 373.89 and 219.70 is: 303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.82 : 373.89 = 219.70 : x
  2. Step 2: Convert to fraction form
    270.82/373.89 = 219.70/x
  3. Step 3: Cross multiply
    270.82x = 373.89 × 219.70
  4. Step 4: Simplify right side
    270.82x = 82,143.63
  5. Step 5: Solve for x
    x = 82,143.63/270.82
  6. Step 6: Final answer
    x = 303.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.