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Finding the Fourth Proportional to 222.30, 306.78 and 139.46

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Solution

The fourth proportional to 222.30, 306.78 and 139.46 is: 192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.30 : 306.78 = 139.46 : x
  2. Step 2: Convert to fraction form
    222.30/306.78 = 139.46/x
  3. Step 3: Cross multiply
    222.30x = 306.78 × 139.46
  4. Step 4: Simplify right side
    222.30x = 42,783.54
  5. Step 5: Solve for x
    x = 42,783.54/222.30
  6. Step 6: Final answer
    x = 192.46

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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.