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Finding the Fourth Proportional to 514.61, 771.74 and 206.39

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Solution

The fourth proportional to 514.61, 771.74 and 206.39 is: 309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.61 : 771.74 = 206.39 : x
  2. Step 2: Convert to fraction form
    514.61/771.74 = 206.39/x
  3. Step 3: Cross multiply
    514.61x = 771.74 × 206.39
  4. Step 4: Simplify right side
    514.61x = 159,275.56
  5. Step 5: Solve for x
    x = 159,275.56/514.61
  6. Step 6: Final answer
    x = 309.51

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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.