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Finding the Fourth Proportional to 203.11, 304.81 and 149.14

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Solution

The fourth proportional to 203.11, 304.81 and 149.14 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.11 : 304.81 = 149.14 : x
  2. Step 2: Convert to fraction form
    203.11/304.81 = 149.14/x
  3. Step 3: Cross multiply
    203.11x = 304.81 × 149.14
  4. Step 4: Simplify right side
    203.11x = 45,460.21
  5. Step 5: Solve for x
    x = 45,460.21/203.11
  6. Step 6: Final answer
    x = 223.82

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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.