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Finding the Fourth Proportional to 470.65, 649.42 and 274.12

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Solution

The fourth proportional to 470.65, 649.42 and 274.12 is: 378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.65 : 649.42 = 274.12 : x
  2. Step 2: Convert to fraction form
    470.65/649.42 = 274.12/x
  3. Step 3: Cross multiply
    470.65x = 649.42 × 274.12
  4. Step 4: Simplify right side
    470.65x = 178,014.39
  5. Step 5: Solve for x
    x = 178,014.39/470.65
  6. Step 6: Final answer
    x = 378.23

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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.