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Finding the Fourth Proportional to 233.82, 349.02 and 206.49

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Solution

The fourth proportional to 233.82, 349.02 and 206.49 is: 308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 349.02 = 206.49 : x
  2. Step 2: Convert to fraction form
    233.82/349.02 = 206.49/x
  3. Step 3: Cross multiply
    233.82x = 349.02 × 206.49
  4. Step 4: Simplify right side
    233.82x = 72,069.14
  5. Step 5: Solve for x
    x = 72,069.14/233.82
  6. Step 6: Final answer
    x = 308.22

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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.