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Finding the Fourth Proportional to 290.06, 400.36 and 212.42

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Solution

The fourth proportional to 290.06, 400.36 and 212.42 is: 293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.06 : 400.36 = 212.42 : x
  2. Step 2: Convert to fraction form
    290.06/400.36 = 212.42/x
  3. Step 3: Cross multiply
    290.06x = 400.36 × 212.42
  4. Step 4: Simplify right side
    290.06x = 85,044.47
  5. Step 5: Solve for x
    x = 85,044.47/290.06
  6. Step 6: Final answer
    x = 293.20

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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.