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Finding the Fourth Proportional to 359.75, 539.56 and 176.83

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Solution

The fourth proportional to 359.75, 539.56 and 176.83 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.75 : 539.56 = 176.83 : x
  2. Step 2: Convert to fraction form
    359.75/539.56 = 176.83/x
  3. Step 3: Cross multiply
    359.75x = 539.56 × 176.83
  4. Step 4: Simplify right side
    359.75x = 95,410.39
  5. Step 5: Solve for x
    x = 95,410.39/359.75
  6. Step 6: Final answer
    x = 265.21

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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.