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Finding the Fourth Proportional to 270.74, 404.36 and 212.83

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Solution

The fourth proportional to 270.74, 404.36 and 212.83 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.74 : 404.36 = 212.83 : x
  2. Step 2: Convert to fraction form
    270.74/404.36 = 212.83/x
  3. Step 3: Cross multiply
    270.74x = 404.36 × 212.83
  4. Step 4: Simplify right side
    270.74x = 86,058.66
  5. Step 5: Solve for x
    x = 86,058.66/270.74
  6. Step 6: Final answer
    x = 317.86

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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.