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Finding the Fourth Proportional to 359.58, 540.34 and 195.16

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Solution

The fourth proportional to 359.58, 540.34 and 195.16 is: 293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.58 : 540.34 = 195.16 : x
  2. Step 2: Convert to fraction form
    359.58/540.34 = 195.16/x
  3. Step 3: Cross multiply
    359.58x = 540.34 × 195.16
  4. Step 4: Simplify right side
    359.58x = 105,452.75
  5. Step 5: Solve for x
    x = 105,452.75/359.58
  6. Step 6: Final answer
    x = 293.27

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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.