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Finding the Fourth Proportional to 312.33, 466.26 and 271.34

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Solution

The fourth proportional to 312.33, 466.26 and 271.34 is: 405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.33 : 466.26 = 271.34 : x
  2. Step 2: Convert to fraction form
    312.33/466.26 = 271.34/x
  3. Step 3: Cross multiply
    312.33x = 466.26 × 271.34
  4. Step 4: Simplify right side
    312.33x = 126,512.66
  5. Step 5: Solve for x
    x = 126,512.66/312.33
  6. Step 6: Final answer
    x = 405.06

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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.