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Finding the Fourth Proportional to 278.89, 384.45 and 195.77

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Solution

The fourth proportional to 278.89, 384.45 and 195.77 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.89 : 384.45 = 195.77 : x
  2. Step 2: Convert to fraction form
    278.89/384.45 = 195.77/x
  3. Step 3: Cross multiply
    278.89x = 384.45 × 195.77
  4. Step 4: Simplify right side
    278.89x = 75,261.84
  5. Step 5: Solve for x
    x = 75,261.84/278.89
  6. Step 6: Final answer
    x = 269.86

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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.