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Finding the Fourth Proportional to 359.71, 495.86 and 280.85

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Solution

The fourth proportional to 359.71, 495.86 and 280.85 is: 387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.71 : 495.86 = 280.85 : x
  2. Step 2: Convert to fraction form
    359.71/495.86 = 280.85/x
  3. Step 3: Cross multiply
    359.71x = 495.86 × 280.85
  4. Step 4: Simplify right side
    359.71x = 139,264.22
  5. Step 5: Solve for x
    x = 139,264.22/359.71
  6. Step 6: Final answer
    x = 387.16

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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.