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Finding the Fourth Proportional to 359.76, 496.45 and 202.36

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Solution

The fourth proportional to 359.76, 496.45 and 202.36 is: 279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.76 : 496.45 = 202.36 : x
  2. Step 2: Convert to fraction form
    359.76/496.45 = 202.36/x
  3. Step 3: Cross multiply
    359.76x = 496.45 × 202.36
  4. Step 4: Simplify right side
    359.76x = 100,461.62
  5. Step 5: Solve for x
    x = 100,461.62/359.76
  6. Step 6: Final answer
    x = 279.25

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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.