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Finding the Fourth Proportional to 511.19, 766.79 and 251.40

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Solution

The fourth proportional to 511.19, 766.79 and 251.40 is: 377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.19 : 766.79 = 251.40 : x
  2. Step 2: Convert to fraction form
    511.19/766.79 = 251.40/x
  3. Step 3: Cross multiply
    511.19x = 766.79 × 251.40
  4. Step 4: Simplify right side
    511.19x = 192,771.01
  5. Step 5: Solve for x
    x = 192,771.01/511.19
  6. Step 6: Final answer
    x = 377.10

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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.