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Finding the Fourth Proportional to 316.09, 436.15 and 191.70

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Solution

The fourth proportional to 316.09, 436.15 and 191.70 is: 264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 436.15 = 191.70 : x
  2. Step 2: Convert to fraction form
    316.09/436.15 = 191.70/x
  3. Step 3: Cross multiply
    316.09x = 436.15 × 191.70
  4. Step 4: Simplify right side
    316.09x = 83,609.96
  5. Step 5: Solve for x
    x = 83,609.96/316.09
  6. Step 6: Final answer
    x = 264.51

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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.