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Finding the Fourth Proportional to 359.07, 495.74 and 280.24

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Solution

The fourth proportional to 359.07, 495.74 and 280.24 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.07 : 495.74 = 280.24 : x
  2. Step 2: Convert to fraction form
    359.07/495.74 = 280.24/x
  3. Step 3: Cross multiply
    359.07x = 495.74 × 280.24
  4. Step 4: Simplify right side
    359.07x = 138,926.85
  5. Step 5: Solve for x
    x = 138,926.85/359.07
  6. Step 6: Final answer
    x = 386.91

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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.