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Finding the Fourth Proportional to 203.83, 305.49 and 145.75

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Solution

The fourth proportional to 203.83, 305.49 and 145.75 is: 218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 305.49 = 145.75 : x
  2. Step 2: Convert to fraction form
    203.83/305.49 = 145.75/x
  3. Step 3: Cross multiply
    203.83x = 305.49 × 145.75
  4. Step 4: Simplify right side
    203.83x = 44,525.17
  5. Step 5: Solve for x
    x = 44,525.17/203.83
  6. Step 6: Final answer
    x = 218.44

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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.