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Finding the Fourth Proportional to 316.28, 436.31 and 205.82

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Solution

The fourth proportional to 316.28, 436.31 and 205.82 is: 283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.28 : 436.31 = 205.82 : x
  2. Step 2: Convert to fraction form
    316.28/436.31 = 205.82/x
  3. Step 3: Cross multiply
    316.28x = 436.31 × 205.82
  4. Step 4: Simplify right side
    316.28x = 89,801.32
  5. Step 5: Solve for x
    x = 89,801.32/316.28
  6. Step 6: Final answer
    x = 283.93

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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.