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Finding the Fourth Proportional to 203.64, 302.12 and 200.40

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Solution

The fourth proportional to 203.64, 302.12 and 200.40 is: 297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.64 : 302.12 = 200.40 : x
  2. Step 2: Convert to fraction form
    203.64/302.12 = 200.40/x
  3. Step 3: Cross multiply
    203.64x = 302.12 × 200.40
  4. Step 4: Simplify right side
    203.64x = 60,544.85
  5. Step 5: Solve for x
    x = 60,544.85/203.64
  6. Step 6: Final answer
    x = 297.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.