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Finding the Fourth Proportional to 427.31, 638.36 and 271.98

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Solution

The fourth proportional to 427.31, 638.36 and 271.98 is: 406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 638.36 = 271.98 : x
  2. Step 2: Convert to fraction form
    427.31/638.36 = 271.98/x
  3. Step 3: Cross multiply
    427.31x = 638.36 × 271.98
  4. Step 4: Simplify right side
    427.31x = 173,619.79
  5. Step 5: Solve for x
    x = 173,619.79/427.31
  6. Step 6: Final answer
    x = 406.31

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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.