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Finding the Fourth Proportional to 281.39, 390.31 and 273.90

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Solution

The fourth proportional to 281.39, 390.31 and 273.90 is: 379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.39 : 390.31 = 273.90 : x
  2. Step 2: Convert to fraction form
    281.39/390.31 = 273.90/x
  3. Step 3: Cross multiply
    281.39x = 390.31 × 273.90
  4. Step 4: Simplify right side
    281.39x = 106,905.22
  5. Step 5: Solve for x
    x = 106,905.22/281.39
  6. Step 6: Final answer
    x = 379.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.