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Finding the Fourth Proportional to 248.18, 374 and 205.80

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Solution

The fourth proportional to 248.18, 374 and 205.80 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.18 : 374 = 205.80 : x
  2. Step 2: Convert to fraction form
    248.18/374 = 205.80/x
  3. Step 3: Cross multiply
    248.18x = 374 × 205.80
  4. Step 4: Simplify right side
    248.18x = 76,969.20
  5. Step 5: Solve for x
    x = 76,969.20/248.18
  6. Step 6: Final answer
    x = 310.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.