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Finding the Fourth Proportional to 272.90, 407.37 and 252.88

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Solution

The fourth proportional to 272.90, 407.37 and 252.88 is: 377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 407.37 = 252.88 : x
  2. Step 2: Convert to fraction form
    272.90/407.37 = 252.88/x
  3. Step 3: Cross multiply
    272.90x = 407.37 × 252.88
  4. Step 4: Simplify right side
    272.90x = 103,015.73
  5. Step 5: Solve for x
    x = 103,015.73/272.90
  6. Step 6: Final answer
    x = 377.49

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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.