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Finding the Fourth Proportional to 316.36, 436.43 and 205.80

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Solution

The fourth proportional to 316.36, 436.43 and 205.80 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.36 : 436.43 = 205.80 : x
  2. Step 2: Convert to fraction form
    316.36/436.43 = 205.80/x
  3. Step 3: Cross multiply
    316.36x = 436.43 × 205.80
  4. Step 4: Simplify right side
    316.36x = 89,815.59
  5. Step 5: Solve for x
    x = 89,815.59/316.36
  6. Step 6: Final answer
    x = 283.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.