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Finding the Fourth Proportional to 306.69, 422.99 and 213.45

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Solution

The fourth proportional to 306.69, 422.99 and 213.45 is: 294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.69 : 422.99 = 213.45 : x
  2. Step 2: Convert to fraction form
    306.69/422.99 = 213.45/x
  3. Step 3: Cross multiply
    306.69x = 422.99 × 213.45
  4. Step 4: Simplify right side
    306.69x = 90,287.74
  5. Step 5: Solve for x
    x = 90,287.74/306.69
  6. Step 6: Final answer
    x = 294.40

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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.