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Finding the Fourth Proportional to 306.18, 418.78 and 301.39

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Solution

The fourth proportional to 306.18, 418.78 and 301.39 is: 412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 418.78 = 301.39 : x
  2. Step 2: Convert to fraction form
    306.18/418.78 = 301.39/x
  3. Step 3: Cross multiply
    306.18x = 418.78 × 301.39
  4. Step 4: Simplify right side
    306.18x = 126,216.10
  5. Step 5: Solve for x
    x = 126,216.10/306.18
  6. Step 6: Final answer
    x = 412.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.