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Finding the Fourth Proportional to 470.53, 649.37 and 274.06

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Solution

The fourth proportional to 470.53, 649.37 and 274.06 is: 378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.53 : 649.37 = 274.06 : x
  2. Step 2: Convert to fraction form
    470.53/649.37 = 274.06/x
  3. Step 3: Cross multiply
    470.53x = 649.37 × 274.06
  4. Step 4: Simplify right side
    470.53x = 177,961.73
  5. Step 5: Solve for x
    x = 177,961.73/470.53
  6. Step 6: Final answer
    x = 378.22

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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.