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Finding the Fourth Proportional to 286.05, 430.60 and 205.46

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Solution

The fourth proportional to 286.05, 430.60 and 205.46 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.05 : 430.60 = 205.46 : x
  2. Step 2: Convert to fraction form
    286.05/430.60 = 205.46/x
  3. Step 3: Cross multiply
    286.05x = 430.60 × 205.46
  4. Step 4: Simplify right side
    286.05x = 88,467.90
  5. Step 5: Solve for x
    x = 88,467.90/286.05
  6. Step 6: Final answer
    x = 309.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.