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Finding the Fourth Proportional to 328.39, 494.56 and 299.23

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Solution

The fourth proportional to 328.39, 494.56 and 299.23 is: 450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.39 : 494.56 = 299.23 : x
  2. Step 2: Convert to fraction form
    328.39/494.56 = 299.23/x
  3. Step 3: Cross multiply
    328.39x = 494.56 × 299.23
  4. Step 4: Simplify right side
    328.39x = 147,987.19
  5. Step 5: Solve for x
    x = 147,987.19/328.39
  6. Step 6: Final answer
    x = 450.64

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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.