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Finding the Fourth Proportional to 294.11, 405.45 and 211.07

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Solution

The fourth proportional to 294.11, 405.45 and 211.07 is: 290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.11 : 405.45 = 211.07 : x
  2. Step 2: Convert to fraction form
    294.11/405.45 = 211.07/x
  3. Step 3: Cross multiply
    294.11x = 405.45 × 211.07
  4. Step 4: Simplify right side
    294.11x = 85,576.30
  5. Step 5: Solve for x
    x = 85,576.30/294.11
  6. Step 6: Final answer
    x = 290.97

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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.