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Finding the Fourth Proportional to 205.66, 307.09 and 164.06

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Solution

The fourth proportional to 205.66, 307.09 and 164.06 is: 244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.66 : 307.09 = 164.06 : x
  2. Step 2: Convert to fraction form
    205.66/307.09 = 164.06/x
  3. Step 3: Cross multiply
    205.66x = 307.09 × 164.06
  4. Step 4: Simplify right side
    205.66x = 50,379.24
  5. Step 5: Solve for x
    x = 50,379.24/205.66
  6. Step 6: Final answer
    x = 244.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.