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Finding the Fourth Proportional to 358.69, 494.91 and 211.27

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Solution

The fourth proportional to 358.69, 494.91 and 211.27 is: 291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.69 : 494.91 = 211.27 : x
  2. Step 2: Convert to fraction form
    358.69/494.91 = 211.27/x
  3. Step 3: Cross multiply
    358.69x = 494.91 × 211.27
  4. Step 4: Simplify right side
    358.69x = 104,559.64
  5. Step 5: Solve for x
    x = 104,559.64/358.69
  6. Step 6: Final answer
    x = 291.50

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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.