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Finding the Fourth Proportional to 359.91, 496.53 and 261.63

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Solution

The fourth proportional to 359.91, 496.53 and 261.63 is: 360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.91 : 496.53 = 261.63 : x
  2. Step 2: Convert to fraction form
    359.91/496.53 = 261.63/x
  3. Step 3: Cross multiply
    359.91x = 496.53 × 261.63
  4. Step 4: Simplify right side
    359.91x = 129,907.14
  5. Step 5: Solve for x
    x = 129,907.14/359.91
  6. Step 6: Final answer
    x = 360.94

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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.