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Finding the Fourth Proportional to 235.89, 351.77 and 214.43

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Solution

The fourth proportional to 235.89, 351.77 and 214.43 is: 319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.89 : 351.77 = 214.43 : x
  2. Step 2: Convert to fraction form
    235.89/351.77 = 214.43/x
  3. Step 3: Cross multiply
    235.89x = 351.77 × 214.43
  4. Step 4: Simplify right side
    235.89x = 75,427.21
  5. Step 5: Solve for x
    x = 75,427.21/235.89
  6. Step 6: Final answer
    x = 319.76

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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.