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Finding the Fourth Proportional to 248.40, 342 and 208.80

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Solution

The fourth proportional to 248.40, 342 and 208.80 is: 287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.40 : 342 = 208.80 : x
  2. Step 2: Convert to fraction form
    248.40/342 = 208.80/x
  3. Step 3: Cross multiply
    248.40x = 342 × 208.80
  4. Step 4: Simplify right side
    248.40x = 71,409.60
  5. Step 5: Solve for x
    x = 71,409.60/248.40
  6. Step 6: Final answer
    x = 287.48

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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.