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Finding the Fourth Proportional to 248.39, 342.90 and 208.50

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Solution

The fourth proportional to 248.39, 342.90 and 208.50 is: 287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.39 : 342.90 = 208.50 : x
  2. Step 2: Convert to fraction form
    248.39/342.90 = 208.50/x
  3. Step 3: Cross multiply
    248.39x = 342.90 × 208.50
  4. Step 4: Simplify right side
    248.39x = 71,494.65
  5. Step 5: Solve for x
    x = 71,494.65/248.39
  6. Step 6: Final answer
    x = 287.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.