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Finding the Fourth Proportional to 359.83, 535.99 and 355.05

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Solution

The fourth proportional to 359.83, 535.99 and 355.05 is: 528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.83 : 535.99 = 355.05 : x
  2. Step 2: Convert to fraction form
    359.83/535.99 = 355.05/x
  3. Step 3: Cross multiply
    359.83x = 535.99 × 355.05
  4. Step 4: Simplify right side
    359.83x = 190,299.52
  5. Step 5: Solve for x
    x = 190,299.52/359.83
  6. Step 6: Final answer
    x = 528.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.