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Finding the Fourth Proportional to 328.26, 494.62 and 271.74

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Solution

The fourth proportional to 328.26, 494.62 and 271.74 is: 409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.26 : 494.62 = 271.74 : x
  2. Step 2: Convert to fraction form
    328.26/494.62 = 271.74/x
  3. Step 3: Cross multiply
    328.26x = 494.62 × 271.74
  4. Step 4: Simplify right side
    328.26x = 134,408.04
  5. Step 5: Solve for x
    x = 134,408.04/328.26
  6. Step 6: Final answer
    x = 409.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.