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Finding the Fourth Proportional to 184.73, 278.45 and 169.34

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Solution

The fourth proportional to 184.73, 278.45 and 169.34 is: 255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.73 : 278.45 = 169.34 : x
  2. Step 2: Convert to fraction form
    184.73/278.45 = 169.34/x
  3. Step 3: Cross multiply
    184.73x = 278.45 × 169.34
  4. Step 4: Simplify right side
    184.73x = 47,150.48
  5. Step 5: Solve for x
    x = 47,150.48/184.73
  6. Step 6: Final answer
    x = 255.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.