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Finding the Fourth Proportional to 203.21, 302.79 and 194.66

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Solution

The fourth proportional to 203.21, 302.79 and 194.66 is: 290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.21 : 302.79 = 194.66 : x
  2. Step 2: Convert to fraction form
    203.21/302.79 = 194.66/x
  3. Step 3: Cross multiply
    203.21x = 302.79 × 194.66
  4. Step 4: Simplify right side
    203.21x = 58,941.10
  5. Step 5: Solve for x
    x = 58,941.10/203.21
  6. Step 6: Final answer
    x = 290.05

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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.