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Finding the Fourth Proportional to 203.01, 304.29 and 111.66

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Solution

The fourth proportional to 203.01, 304.29 and 111.66 is: 167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.01 : 304.29 = 111.66 : x
  2. Step 2: Convert to fraction form
    203.01/304.29 = 111.66/x
  3. Step 3: Cross multiply
    203.01x = 304.29 × 111.66
  4. Step 4: Simplify right side
    203.01x = 33,977.02
  5. Step 5: Solve for x
    x = 33,977.02/203.01
  6. Step 6: Final answer
    x = 167.37

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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.