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Finding the Fourth Proportional to 359.95, 539.04 and 302.05

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Solution

The fourth proportional to 359.95, 539.04 and 302.05 is: 452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.95 : 539.04 = 302.05 : x
  2. Step 2: Convert to fraction form
    359.95/539.04 = 302.05/x
  3. Step 3: Cross multiply
    359.95x = 539.04 × 302.05
  4. Step 4: Simplify right side
    359.95x = 162,817.03
  5. Step 5: Solve for x
    x = 162,817.03/359.95
  6. Step 6: Final answer
    x = 452.33

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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.