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Finding the Fourth Proportional to 205.69, 307.01 and 181.39

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Solution

The fourth proportional to 205.69, 307.01 and 181.39 is: 270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 307.01 = 181.39 : x
  2. Step 2: Convert to fraction form
    205.69/307.01 = 181.39/x
  3. Step 3: Cross multiply
    205.69x = 307.01 × 181.39
  4. Step 4: Simplify right side
    205.69x = 55,688.54
  5. Step 5: Solve for x
    x = 55,688.54/205.69
  6. Step 6: Final answer
    x = 270.74

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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.