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Finding the Fourth Proportional to 278.47, 384.22 and 189.97

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Solution

The fourth proportional to 278.47, 384.22 and 189.97 is: 262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.47 : 384.22 = 189.97 : x
  2. Step 2: Convert to fraction form
    278.47/384.22 = 189.97/x
  3. Step 3: Cross multiply
    278.47x = 384.22 × 189.97
  4. Step 4: Simplify right side
    278.47x = 72,990.27
  5. Step 5: Solve for x
    x = 72,990.27/278.47
  6. Step 6: Final answer
    x = 262.11

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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.