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Finding the Fourth Proportional to 359.49, 535.82 and 338.99

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Solution

The fourth proportional to 359.49, 535.82 and 338.99 is: 505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.49 : 535.82 = 338.99 : x
  2. Step 2: Convert to fraction form
    359.49/535.82 = 338.99/x
  3. Step 3: Cross multiply
    359.49x = 535.82 × 338.99
  4. Step 4: Simplify right side
    359.49x = 181,633.25
  5. Step 5: Solve for x
    x = 181,633.25/359.49
  6. Step 6: Final answer
    x = 505.26

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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.