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Finding the Fourth Proportional to 270.41, 403.66 and 251.42

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Solution

The fourth proportional to 270.41, 403.66 and 251.42 is: 375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.41 : 403.66 = 251.42 : x
  2. Step 2: Convert to fraction form
    270.41/403.66 = 251.42/x
  3. Step 3: Cross multiply
    270.41x = 403.66 × 251.42
  4. Step 4: Simplify right side
    270.41x = 101,488.58
  5. Step 5: Solve for x
    x = 101,488.58/270.41
  6. Step 6: Final answer
    x = 375.31

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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.