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Finding the Fourth Proportional to 278.90, 417.81 and 182.42

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Solution

The fourth proportional to 278.90, 417.81 and 182.42 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.90 : 417.81 = 182.42 : x
  2. Step 2: Convert to fraction form
    278.90/417.81 = 182.42/x
  3. Step 3: Cross multiply
    278.90x = 417.81 × 182.42
  4. Step 4: Simplify right side
    278.90x = 76,216.90
  5. Step 5: Solve for x
    x = 76,216.90/278.90
  6. Step 6: Final answer
    x = 273.28

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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.