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Finding the Fourth Proportional to 203.08, 304.09 and 186.16

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Solution

The fourth proportional to 203.08, 304.09 and 186.16 is: 278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.08 : 304.09 = 186.16 : x
  2. Step 2: Convert to fraction form
    203.08/304.09 = 186.16/x
  3. Step 3: Cross multiply
    203.08x = 304.09 × 186.16
  4. Step 4: Simplify right side
    203.08x = 56,608.93
  5. Step 5: Solve for x
    x = 56,608.93/203.08
  6. Step 6: Final answer
    x = 278.76

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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.