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Finding the Fourth Proportional to 359.36, 496.07 and 261.86

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Solution

The fourth proportional to 359.36, 496.07 and 261.86 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.36 : 496.07 = 261.86 : x
  2. Step 2: Convert to fraction form
    359.36/496.07 = 261.86/x
  3. Step 3: Cross multiply
    359.36x = 496.07 × 261.86
  4. Step 4: Simplify right side
    359.36x = 129,897.10
  5. Step 5: Solve for x
    x = 129,897.10/359.36
  6. Step 6: Final answer
    x = 361.47

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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.