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Finding the Fourth Proportional to 359.15, 495.60 and 209.75

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Solution

The fourth proportional to 359.15, 495.60 and 209.75 is: 289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.15 : 495.60 = 209.75 : x
  2. Step 2: Convert to fraction form
    359.15/495.60 = 209.75/x
  3. Step 3: Cross multiply
    359.15x = 495.60 × 209.75
  4. Step 4: Simplify right side
    359.15x = 103,948.84
  5. Step 5: Solve for x
    x = 103,948.84/359.15
  6. Step 6: Final answer
    x = 289.43

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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.