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Finding the Fourth Proportional to 359.82, 496.23 and 282.06

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Solution

The fourth proportional to 359.82, 496.23 and 282.06 is: 388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.82 : 496.23 = 282.06 : x
  2. Step 2: Convert to fraction form
    359.82/496.23 = 282.06/x
  3. Step 3: Cross multiply
    359.82x = 496.23 × 282.06
  4. Step 4: Simplify right side
    359.82x = 139,966.63
  5. Step 5: Solve for x
    x = 139,966.63/359.82
  6. Step 6: Final answer
    x = 388.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.