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Finding the Fourth Proportional to 359.46, 540.15 and 195.03

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Solution

The fourth proportional to 359.46, 540.15 and 195.03 is: 293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.46 : 540.15 = 195.03 : x
  2. Step 2: Convert to fraction form
    359.46/540.15 = 195.03/x
  3. Step 3: Cross multiply
    359.46x = 540.15 × 195.03
  4. Step 4: Simplify right side
    359.46x = 105,345.45
  5. Step 5: Solve for x
    x = 105,345.45/359.46
  6. Step 6: Final answer
    x = 293.07

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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.