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Finding the Fourth Proportional to 606.80, 909.76 and 273.12

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Solution

The fourth proportional to 606.80, 909.76 and 273.12 is: 409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.80 : 909.76 = 273.12 : x
  2. Step 2: Convert to fraction form
    606.80/909.76 = 273.12/x
  3. Step 3: Cross multiply
    606.80x = 909.76 × 273.12
  4. Step 4: Simplify right side
    606.80x = 248,473.65
  5. Step 5: Solve for x
    x = 248,473.65/606.80
  6. Step 6: Final answer
    x = 409.48

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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.