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Finding the Fourth Proportional to 232.68, 347.22 and 208.05

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Solution

The fourth proportional to 232.68, 347.22 and 208.05 is: 310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.68 : 347.22 = 208.05 : x
  2. Step 2: Convert to fraction form
    232.68/347.22 = 208.05/x
  3. Step 3: Cross multiply
    232.68x = 347.22 × 208.05
  4. Step 4: Simplify right side
    232.68x = 72,239.12
  5. Step 5: Solve for x
    x = 72,239.12/232.68
  6. Step 6: Final answer
    x = 310.47

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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.