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Finding the Fourth Proportional to 184.80, 277.20 and 82.06

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Solution

The fourth proportional to 184.80, 277.20 and 82.06 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 277.20 = 82.06 : x
  2. Step 2: Convert to fraction form
    184.80/277.20 = 82.06/x
  3. Step 3: Cross multiply
    184.80x = 277.20 × 82.06
  4. Step 4: Simplify right side
    184.80x = 22,745.65
  5. Step 5: Solve for x
    x = 22,745.65/184.80
  6. Step 6: Final answer
    x = 123.08

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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.