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Finding the Fourth Proportional to 278.46, 416.90 and 162.72

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Solution

The fourth proportional to 278.46, 416.90 and 162.72 is: 243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 416.90 = 162.72 : x
  2. Step 2: Convert to fraction form
    278.46/416.90 = 162.72/x
  3. Step 3: Cross multiply
    278.46x = 416.90 × 162.72
  4. Step 4: Simplify right side
    278.46x = 67,837.97
  5. Step 5: Solve for x
    x = 67,837.97/278.46
  6. Step 6: Final answer
    x = 243.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.