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Finding the Fourth Proportional to 278.22, 384.17 and 195.60

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Solution

The fourth proportional to 278.22, 384.17 and 195.60 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 384.17 = 195.60 : x
  2. Step 2: Convert to fraction form
    278.22/384.17 = 195.60/x
  3. Step 3: Cross multiply
    278.22x = 384.17 × 195.60
  4. Step 4: Simplify right side
    278.22x = 75,142.67
  5. Step 5: Solve for x
    x = 75,142.67/278.22
  6. Step 6: Final answer
    x = 270.08

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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.