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Finding the Fourth Proportional to 359.81, 496.55 and 219.91

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Solution

The fourth proportional to 359.81, 496.55 and 219.91 is: 303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.81 : 496.55 = 219.91 : x
  2. Step 2: Convert to fraction form
    359.81/496.55 = 219.91/x
  3. Step 3: Cross multiply
    359.81x = 496.55 × 219.91
  4. Step 4: Simplify right side
    359.81x = 109,196.31
  5. Step 5: Solve for x
    x = 109,196.31/359.81
  6. Step 6: Final answer
    x = 303.48

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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.