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Finding the Fourth Proportional to 606.12, 908.08 and 280.80

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Solution

The fourth proportional to 606.12, 908.08 and 280.80 is: 420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.12 : 908.08 = 280.80 : x
  2. Step 2: Convert to fraction form
    606.12/908.08 = 280.80/x
  3. Step 3: Cross multiply
    606.12x = 908.08 × 280.80
  4. Step 4: Simplify right side
    606.12x = 254,988.86
  5. Step 5: Solve for x
    x = 254,988.86/606.12
  6. Step 6: Final answer
    x = 420.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.