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Finding the Fourth Proportional to 316.42, 436.62 and 199.96

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Solution

The fourth proportional to 316.42, 436.62 and 199.96 is: 275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.42 : 436.62 = 199.96 : x
  2. Step 2: Convert to fraction form
    316.42/436.62 = 199.96/x
  3. Step 3: Cross multiply
    316.42x = 436.62 × 199.96
  4. Step 4: Simplify right side
    316.42x = 87,306.54
  5. Step 5: Solve for x
    x = 87,306.54/316.42
  6. Step 6: Final answer
    x = 275.92

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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.