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Finding the Fourth Proportional to 328.25, 494.10 and 251.71

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Solution

The fourth proportional to 328.25, 494.10 and 251.71 is: 378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.25 : 494.10 = 251.71 : x
  2. Step 2: Convert to fraction form
    328.25/494.10 = 251.71/x
  3. Step 3: Cross multiply
    328.25x = 494.10 × 251.71
  4. Step 4: Simplify right side
    328.25x = 124,368.68
  5. Step 5: Solve for x
    x = 124,368.68/328.25
  6. Step 6: Final answer
    x = 378.88

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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.