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Finding the Fourth Proportional to 220.11, 304.34 and 192.78

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Solution

The fourth proportional to 220.11, 304.34 and 192.78 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.11 : 304.34 = 192.78 : x
  2. Step 2: Convert to fraction form
    220.11/304.34 = 192.78/x
  3. Step 3: Cross multiply
    220.11x = 304.34 × 192.78
  4. Step 4: Simplify right side
    220.11x = 58,670.67
  5. Step 5: Solve for x
    x = 58,670.67/220.11
  6. Step 6: Final answer
    x = 266.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.