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Finding the Fourth Proportional to 233.80, 348.37 and 208.26

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Solution

The fourth proportional to 233.80, 348.37 and 208.26 is: 310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.80 : 348.37 = 208.26 : x
  2. Step 2: Convert to fraction form
    233.80/348.37 = 208.26/x
  3. Step 3: Cross multiply
    233.80x = 348.37 × 208.26
  4. Step 4: Simplify right side
    233.80x = 72,551.54
  5. Step 5: Solve for x
    x = 72,551.54/233.80
  6. Step 6: Final answer
    x = 310.31

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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.