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Finding the Fourth Proportional to 359.36, 495.29 and 280.54

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Solution

The fourth proportional to 359.36, 495.29 and 280.54 is: 386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.36 : 495.29 = 280.54 : x
  2. Step 2: Convert to fraction form
    359.36/495.29 = 280.54/x
  3. Step 3: Cross multiply
    359.36x = 495.29 × 280.54
  4. Step 4: Simplify right side
    359.36x = 138,948.66
  5. Step 5: Solve for x
    x = 138,948.66/359.36
  6. Step 6: Final answer
    x = 386.66

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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.