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Finding the Fourth Proportional to 511.29, 767.31 and 198.99

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Solution

The fourth proportional to 511.29, 767.31 and 198.99 is: 298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.29 : 767.31 = 198.99 : x
  2. Step 2: Convert to fraction form
    511.29/767.31 = 198.99/x
  3. Step 3: Cross multiply
    511.29x = 767.31 × 198.99
  4. Step 4: Simplify right side
    511.29x = 152,684.71
  5. Step 5: Solve for x
    x = 152,684.71/511.29
  6. Step 6: Final answer
    x = 298.63

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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.