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Finding the Fourth Proportional to 515.02, 771.99 and 206.80

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Solution

The fourth proportional to 515.02, 771.99 and 206.80 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.02 : 771.99 = 206.80 : x
  2. Step 2: Convert to fraction form
    515.02/771.99 = 206.80/x
  3. Step 3: Cross multiply
    515.02x = 771.99 × 206.80
  4. Step 4: Simplify right side
    515.02x = 159,647.53
  5. Step 5: Solve for x
    x = 159,647.53/515.02
  6. Step 6: Final answer
    x = 309.98

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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.