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Finding the Fourth Proportional to 203.85, 304.30 and 189.59

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Solution

The fourth proportional to 203.85, 304.30 and 189.59 is: 283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 304.30 = 189.59 : x
  2. Step 2: Convert to fraction form
    203.85/304.30 = 189.59/x
  3. Step 3: Cross multiply
    203.85x = 304.30 × 189.59
  4. Step 4: Simplify right side
    203.85x = 57,692.24
  5. Step 5: Solve for x
    x = 57,692.24/203.85
  6. Step 6: Final answer
    x = 283.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.