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Finding the Fourth Proportional to 359.05, 495.51 and 201.69

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Solution

The fourth proportional to 359.05, 495.51 and 201.69 is: 278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.05 : 495.51 = 201.69 : x
  2. Step 2: Convert to fraction form
    359.05/495.51 = 201.69/x
  3. Step 3: Cross multiply
    359.05x = 495.51 × 201.69
  4. Step 4: Simplify right side
    359.05x = 99,939.41
  5. Step 5: Solve for x
    x = 99,939.41/359.05
  6. Step 6: Final answer
    x = 278.34

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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.