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Finding the Fourth Proportional to 328.30, 494.71 and 271.80

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Solution

The fourth proportional to 328.30, 494.71 and 271.80 is: 409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.30 : 494.71 = 271.80 : x
  2. Step 2: Convert to fraction form
    328.30/494.71 = 271.80/x
  3. Step 3: Cross multiply
    328.30x = 494.71 × 271.80
  4. Step 4: Simplify right side
    328.30x = 134,460.11
  5. Step 5: Solve for x
    x = 134,460.11/328.30
  6. Step 6: Final answer
    x = 409.56

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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.