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Finding the Fourth Proportional to 203.88, 304.49 and 186.88

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Solution

The fourth proportional to 203.88, 304.49 and 186.88 is: 279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.88 : 304.49 = 186.88 : x
  2. Step 2: Convert to fraction form
    203.88/304.49 = 186.88/x
  3. Step 3: Cross multiply
    203.88x = 304.49 × 186.88
  4. Step 4: Simplify right side
    203.88x = 56,903.09
  5. Step 5: Solve for x
    x = 56,903.09/203.88
  6. Step 6: Final answer
    x = 279.10

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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.