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Finding the Fourth Proportional to 233.89, 349.12 and 206.56

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Solution

The fourth proportional to 233.89, 349.12 and 206.56 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.89 : 349.12 = 206.56 : x
  2. Step 2: Convert to fraction form
    233.89/349.12 = 206.56/x
  3. Step 3: Cross multiply
    233.89x = 349.12 × 206.56
  4. Step 4: Simplify right side
    233.89x = 72,114.23
  5. Step 5: Solve for x
    x = 72,114.23/233.89
  6. Step 6: Final answer
    x = 308.33

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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.