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Finding the Fourth Proportional to 359.19, 495.68 and 209.91

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Solution

The fourth proportional to 359.19, 495.68 and 209.91 is: 289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.19 : 495.68 = 209.91 : x
  2. Step 2: Convert to fraction form
    359.19/495.68 = 209.91/x
  3. Step 3: Cross multiply
    359.19x = 495.68 × 209.91
  4. Step 4: Simplify right side
    359.19x = 104,048.46
  5. Step 5: Solve for x
    x = 104,048.46/359.19
  6. Step 6: Final answer
    x = 289.68

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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.