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Finding the Fourth Proportional to 203.03, 304.31 and 100.09

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Solution

The fourth proportional to 203.03, 304.31 and 100.09 is: 150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.03 : 304.31 = 100.09 : x
  2. Step 2: Convert to fraction form
    203.03/304.31 = 100.09/x
  3. Step 3: Cross multiply
    203.03x = 304.31 × 100.09
  4. Step 4: Simplify right side
    203.03x = 30,457.88
  5. Step 5: Solve for x
    x = 30,457.88/203.03
  6. Step 6: Final answer
    x = 150.02

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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.