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Finding the Fourth Proportional to 316.19, 435.87 and 222.68

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Solution

The fourth proportional to 316.19, 435.87 and 222.68 is: 306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.19 : 435.87 = 222.68 : x
  2. Step 2: Convert to fraction form
    316.19/435.87 = 222.68/x
  3. Step 3: Cross multiply
    316.19x = 435.87 × 222.68
  4. Step 4: Simplify right side
    316.19x = 97,057.35
  5. Step 5: Solve for x
    x = 97,057.35/316.19
  6. Step 6: Final answer
    x = 306.96

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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.