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Finding the Fourth Proportional to 359.01, 495.44 and 201.64

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Solution

The fourth proportional to 359.01, 495.44 and 201.64 is: 278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.01 : 495.44 = 201.64 : x
  2. Step 2: Convert to fraction form
    359.01/495.44 = 201.64/x
  3. Step 3: Cross multiply
    359.01x = 495.44 × 201.64
  4. Step 4: Simplify right side
    359.01x = 99,900.52
  5. Step 5: Solve for x
    x = 99,900.52/359.01
  6. Step 6: Final answer
    x = 278.27

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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.