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Finding the Fourth Proportional to 359.91, 540.02 and 186.63

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Solution

The fourth proportional to 359.91, 540.02 and 186.63 is: 280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.91 : 540.02 = 186.63 : x
  2. Step 2: Convert to fraction form
    359.91/540.02 = 186.63/x
  3. Step 3: Cross multiply
    359.91x = 540.02 × 186.63
  4. Step 4: Simplify right side
    359.91x = 100,783.93
  5. Step 5: Solve for x
    x = 100,783.93/359.91
  6. Step 6: Final answer
    x = 280.03

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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.