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Finding the Fourth Proportional to 359.69, 495.99 and 260.21

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Solution

The fourth proportional to 359.69, 495.99 and 260.21 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.69 : 495.99 = 260.21 : x
  2. Step 2: Convert to fraction form
    359.69/495.99 = 260.21/x
  3. Step 3: Cross multiply
    359.69x = 495.99 × 260.21
  4. Step 4: Simplify right side
    359.69x = 129,062.80
  5. Step 5: Solve for x
    x = 129,062.80/359.69
  6. Step 6: Final answer
    x = 358.82

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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.