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Finding the Fourth Proportional to 359.03, 537.60 and 310.43

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Solution

The fourth proportional to 359.03, 537.60 and 310.43 is: 464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.03 : 537.60 = 310.43 : x
  2. Step 2: Convert to fraction form
    359.03/537.60 = 310.43/x
  3. Step 3: Cross multiply
    359.03x = 537.60 × 310.43
  4. Step 4: Simplify right side
    359.03x = 166,887.17
  5. Step 5: Solve for x
    x = 166,887.17/359.03
  6. Step 6: Final answer
    x = 464.83

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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.