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Finding the Fourth Proportional to 204.45, 304.92 and 185.01

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Solution

The fourth proportional to 204.45, 304.92 and 185.01 is: 275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.45 : 304.92 = 185.01 : x
  2. Step 2: Convert to fraction form
    204.45/304.92 = 185.01/x
  3. Step 3: Cross multiply
    204.45x = 304.92 × 185.01
  4. Step 4: Simplify right side
    204.45x = 56,413.25
  5. Step 5: Solve for x
    x = 56,413.25/204.45
  6. Step 6: Final answer
    x = 275.93

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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.