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Finding the Fourth Proportional to 316.21, 436.43 and 204.32

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Solution

The fourth proportional to 316.21, 436.43 and 204.32 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.21 : 436.43 = 204.32 : x
  2. Step 2: Convert to fraction form
    316.21/436.43 = 204.32/x
  3. Step 3: Cross multiply
    316.21x = 436.43 × 204.32
  4. Step 4: Simplify right side
    316.21x = 89,169.38
  5. Step 5: Solve for x
    x = 89,169.38/316.21
  6. Step 6: Final answer
    x = 281.99

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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.