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Finding the Fourth Proportional to 316, 435.60 and 222.44

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Solution

The fourth proportional to 316, 435.60 and 222.44 is: 306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316 : 435.60 = 222.44 : x
  2. Step 2: Convert to fraction form
    316/435.60 = 222.44/x
  3. Step 3: Cross multiply
    316x = 435.60 × 222.44
  4. Step 4: Simplify right side
    316x = 96,894.86
  5. Step 5: Solve for x
    x = 96,894.86/316
  6. Step 6: Final answer
    x = 306.63

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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.