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Finding the Fourth Proportional to 306.69, 421.90 and 269.18

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Solution

The fourth proportional to 306.69, 421.90 and 269.18 is: 370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.69 : 421.90 = 269.18 : x
  2. Step 2: Convert to fraction form
    306.69/421.90 = 269.18/x
  3. Step 3: Cross multiply
    306.69x = 421.90 × 269.18
  4. Step 4: Simplify right side
    306.69x = 113,567.04
  5. Step 5: Solve for x
    x = 113,567.04/306.69
  6. Step 6: Final answer
    x = 370.30

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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.