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Finding the Fourth Proportional to 511.26, 767.90 and 306.23

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Solution

The fourth proportional to 511.26, 767.90 and 306.23 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.26 : 767.90 = 306.23 : x
  2. Step 2: Convert to fraction form
    511.26/767.90 = 306.23/x
  3. Step 3: Cross multiply
    511.26x = 767.90 × 306.23
  4. Step 4: Simplify right side
    511.26x = 235,148.65
  5. Step 5: Solve for x
    x = 235,148.65/511.26
  6. Step 6: Final answer
    x = 459.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.