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Finding the Fourth Proportional to 316.46, 436.79 and 198.50

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Solution

The fourth proportional to 316.46, 436.79 and 198.50 is: 273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.46 : 436.79 = 198.50 : x
  2. Step 2: Convert to fraction form
    316.46/436.79 = 198.50/x
  3. Step 3: Cross multiply
    316.46x = 436.79 × 198.50
  4. Step 4: Simplify right side
    316.46x = 86,703.58
  5. Step 5: Solve for x
    x = 86,703.58/316.46
  6. Step 6: Final answer
    x = 273.98

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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.