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Finding the Fourth Proportional to 286.90, 395.65 and 180.48

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Solution

The fourth proportional to 286.90, 395.65 and 180.48 is: 248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.90 : 395.65 = 180.48 : x
  2. Step 2: Convert to fraction form
    286.90/395.65 = 180.48/x
  3. Step 3: Cross multiply
    286.90x = 395.65 × 180.48
  4. Step 4: Simplify right side
    286.90x = 71,405.63
  5. Step 5: Solve for x
    x = 71,405.63/286.90
  6. Step 6: Final answer
    x = 248.88

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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.