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Finding the Fourth Proportional to 359.19, 541.41 and 328.41

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Solution

The fourth proportional to 359.19, 541.41 and 328.41 is: 495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.19 : 541.41 = 328.41 : x
  2. Step 2: Convert to fraction form
    359.19/541.41 = 328.41/x
  3. Step 3: Cross multiply
    359.19x = 541.41 × 328.41
  4. Step 4: Simplify right side
    359.19x = 177,804.46
  5. Step 5: Solve for x
    x = 177,804.46/359.19
  6. Step 6: Final answer
    x = 495.02

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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.