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Finding the Fourth Proportional to 359.51, 496.28 and 243.23

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Solution

The fourth proportional to 359.51, 496.28 and 243.23 is: 335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.51 : 496.28 = 243.23 : x
  2. Step 2: Convert to fraction form
    359.51/496.28 = 243.23/x
  3. Step 3: Cross multiply
    359.51x = 496.28 × 243.23
  4. Step 4: Simplify right side
    359.51x = 120,710.18
  5. Step 5: Solve for x
    x = 120,710.18/359.51
  6. Step 6: Final answer
    x = 335.76

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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.