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Finding the Fourth Proportional to 359.06, 540.03 and 355.86

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Solution

The fourth proportional to 359.06, 540.03 and 355.86 is: 535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.06 : 540.03 = 355.86 : x
  2. Step 2: Convert to fraction form
    359.06/540.03 = 355.86/x
  3. Step 3: Cross multiply
    359.06x = 540.03 × 355.86
  4. Step 4: Simplify right side
    359.06x = 192,175.08
  5. Step 5: Solve for x
    x = 192,175.08/359.06
  6. Step 6: Final answer
    x = 535.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.