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Finding the Fourth Proportional to 290.26, 401.08 and 211.43

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Solution

The fourth proportional to 290.26, 401.08 and 211.43 is: 292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.26 : 401.08 = 211.43 : x
  2. Step 2: Convert to fraction form
    290.26/401.08 = 211.43/x
  3. Step 3: Cross multiply
    290.26x = 401.08 × 211.43
  4. Step 4: Simplify right side
    290.26x = 84,802.11
  5. Step 5: Solve for x
    x = 84,802.11/290.26
  6. Step 6: Final answer
    x = 292.16

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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.