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Finding the Fourth Proportional to 204.83, 305.52 and 186.37

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Solution

The fourth proportional to 204.83, 305.52 and 186.37 is: 277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.83 : 305.52 = 186.37 : x
  2. Step 2: Convert to fraction form
    204.83/305.52 = 186.37/x
  3. Step 3: Cross multiply
    204.83x = 305.52 × 186.37
  4. Step 4: Simplify right side
    204.83x = 56,938.83
  5. Step 5: Solve for x
    x = 56,938.83/204.83
  6. Step 6: Final answer
    x = 277.99

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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.