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Finding the Fourth Proportional to 203.21, 280.21 and 183.77

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Solution

The fourth proportional to 203.21, 280.21 and 183.77 is: 253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.21 : 280.21 = 183.77 : x
  2. Step 2: Convert to fraction form
    203.21/280.21 = 183.77/x
  3. Step 3: Cross multiply
    203.21x = 280.21 × 183.77
  4. Step 4: Simplify right side
    203.21x = 51,493.73
  5. Step 5: Solve for x
    x = 51,493.73/203.21
  6. Step 6: Final answer
    x = 253.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.