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Finding the Fourth Proportional to 203.09, 304.64 and 138.50

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Solution

The fourth proportional to 203.09, 304.64 and 138.50 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.09 : 304.64 = 138.50 : x
  2. Step 2: Convert to fraction form
    203.09/304.64 = 138.50/x
  3. Step 3: Cross multiply
    203.09x = 304.64 × 138.50
  4. Step 4: Simplify right side
    203.09x = 42,190.42
  5. Step 5: Solve for x
    x = 42,190.42/203.09
  6. Step 6: Final answer
    x = 207.75

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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.