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Finding the Fourth Proportional to 359.34, 495.90 and 280.75

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Solution

The fourth proportional to 359.34, 495.90 and 280.75 is: 387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.34 : 495.90 = 280.75 : x
  2. Step 2: Convert to fraction form
    359.34/495.90 = 280.75/x
  3. Step 3: Cross multiply
    359.34x = 495.90 × 280.75
  4. Step 4: Simplify right side
    359.34x = 139,223.93
  5. Step 5: Solve for x
    x = 139,223.93/359.34
  6. Step 6: Final answer
    x = 387.44

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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.