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Finding the Fourth Proportional to 470.05, 648.66 and 273.63

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Solution

The fourth proportional to 470.05, 648.66 and 273.63 is: 377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.05 : 648.66 = 273.63 : x
  2. Step 2: Convert to fraction form
    470.05/648.66 = 273.63/x
  3. Step 3: Cross multiply
    470.05x = 648.66 × 273.63
  4. Step 4: Simplify right side
    470.05x = 177,492.84
  5. Step 5: Solve for x
    x = 177,492.84/470.05
  6. Step 6: Final answer
    x = 377.60

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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.