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Finding the Fourth Proportional to 301.04, 414.96 and 213.56

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Solution

The fourth proportional to 301.04, 414.96 and 213.56 is: 294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.04 : 414.96 = 213.56 : x
  2. Step 2: Convert to fraction form
    301.04/414.96 = 213.56/x
  3. Step 3: Cross multiply
    301.04x = 414.96 × 213.56
  4. Step 4: Simplify right side
    301.04x = 88,618.86
  5. Step 5: Solve for x
    x = 88,618.86/301.04
  6. Step 6: Final answer
    x = 294.38

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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.