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Finding the Fourth Proportional to 359.56, 539 and 257.03

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Solution

The fourth proportional to 359.56, 539 and 257.03 is: 385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.56 : 539 = 257.03 : x
  2. Step 2: Convert to fraction form
    359.56/539 = 257.03/x
  3. Step 3: Cross multiply
    359.56x = 539 × 257.03
  4. Step 4: Simplify right side
    359.56x = 138,539.17
  5. Step 5: Solve for x
    x = 138,539.17/359.56
  6. Step 6: Final answer
    x = 385.30

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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.