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Finding the Fourth Proportional to 259.21, 389.09 and 166.78

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Solution

The fourth proportional to 259.21, 389.09 and 166.78 is: 250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.21 : 389.09 = 166.78 : x
  2. Step 2: Convert to fraction form
    259.21/389.09 = 166.78/x
  3. Step 3: Cross multiply
    259.21x = 389.09 × 166.78
  4. Step 4: Simplify right side
    259.21x = 64,892.43
  5. Step 5: Solve for x
    x = 64,892.43/259.21
  6. Step 6: Final answer
    x = 250.35

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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.