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Finding the Fourth Proportional to 359.54, 541.13 and 268.71

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Solution

The fourth proportional to 359.54, 541.13 and 268.71 is: 404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.54 : 541.13 = 268.71 : x
  2. Step 2: Convert to fraction form
    359.54/541.13 = 268.71/x
  3. Step 3: Cross multiply
    359.54x = 541.13 × 268.71
  4. Step 4: Simplify right side
    359.54x = 145,405.70
  5. Step 5: Solve for x
    x = 145,405.70/359.54
  6. Step 6: Final answer
    x = 404.43

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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.