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Finding the Fourth Proportional to 184.80, 275.52 and 180.54

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Solution

The fourth proportional to 184.80, 275.52 and 180.54 is: 269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 275.52 = 180.54 : x
  2. Step 2: Convert to fraction form
    184.80/275.52 = 180.54/x
  3. Step 3: Cross multiply
    184.80x = 275.52 × 180.54
  4. Step 4: Simplify right side
    184.80x = 49,742.38
  5. Step 5: Solve for x
    x = 49,742.38/184.80
  6. Step 6: Final answer
    x = 269.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.