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Finding the Fourth Proportional to 290.13, 400.12 and 211.47

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Solution

The fourth proportional to 290.13, 400.12 and 211.47 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 400.12 = 211.47 : x
  2. Step 2: Convert to fraction form
    290.13/400.12 = 211.47/x
  3. Step 3: Cross multiply
    290.13x = 400.12 × 211.47
  4. Step 4: Simplify right side
    290.13x = 84,613.38
  5. Step 5: Solve for x
    x = 84,613.38/290.13
  6. Step 6: Final answer
    x = 291.64

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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.