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Finding the Fourth Proportional to 290.82, 434.16 and 273.42

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Solution

The fourth proportional to 290.82, 434.16 and 273.42 is: 408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.82 : 434.16 = 273.42 : x
  2. Step 2: Convert to fraction form
    290.82/434.16 = 273.42/x
  3. Step 3: Cross multiply
    290.82x = 434.16 × 273.42
  4. Step 4: Simplify right side
    290.82x = 118,708.03
  5. Step 5: Solve for x
    x = 118,708.03/290.82
  6. Step 6: Final answer
    x = 408.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.