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Finding the Fourth Proportional to 278.73, 384.62 and 162.36

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Solution

The fourth proportional to 278.73, 384.62 and 162.36 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 384.62 = 162.36 : x
  2. Step 2: Convert to fraction form
    278.73/384.62 = 162.36/x
  3. Step 3: Cross multiply
    278.73x = 384.62 × 162.36
  4. Step 4: Simplify right side
    278.73x = 62,446.09
  5. Step 5: Solve for x
    x = 62,446.09/278.73
  6. Step 6: Final answer
    x = 224.04

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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.