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Finding the Fourth Proportional to 359.03, 540.37 and 268.21

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Solution

The fourth proportional to 359.03, 540.37 and 268.21 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.03 : 540.37 = 268.21 : x
  2. Step 2: Convert to fraction form
    359.03/540.37 = 268.21/x
  3. Step 3: Cross multiply
    359.03x = 540.37 × 268.21
  4. Step 4: Simplify right side
    359.03x = 144,933.65
  5. Step 5: Solve for x
    x = 144,933.65/359.03
  6. Step 6: Final answer
    x = 403.68

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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.