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Finding the Fourth Proportional to 232.77, 321.08 and 145.43

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Solution

The fourth proportional to 232.77, 321.08 and 145.43 is: 200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.77 : 321.08 = 145.43 : x
  2. Step 2: Convert to fraction form
    232.77/321.08 = 145.43/x
  3. Step 3: Cross multiply
    232.77x = 321.08 × 145.43
  4. Step 4: Simplify right side
    232.77x = 46,692.33
  5. Step 5: Solve for x
    x = 46,692.33/232.77
  6. Step 6: Final answer
    x = 200.59

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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.