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Finding the Fourth Proportional to 359.90, 496.78 and 220.02

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Solution

The fourth proportional to 359.90, 496.78 and 220.02 is: 303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.90 : 496.78 = 220.02 : x
  2. Step 2: Convert to fraction form
    359.90/496.78 = 220.02/x
  3. Step 3: Cross multiply
    359.90x = 496.78 × 220.02
  4. Step 4: Simplify right side
    359.90x = 109,301.54
  5. Step 5: Solve for x
    x = 109,301.54/359.90
  6. Step 6: Final answer
    x = 303.70

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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.