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Finding the Fourth Proportional to 470.61, 649.31 and 274.05

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Solution

The fourth proportional to 470.61, 649.31 and 274.05 is: 378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.61 : 649.31 = 274.05 : x
  2. Step 2: Convert to fraction form
    470.61/649.31 = 274.05/x
  3. Step 3: Cross multiply
    470.61x = 649.31 × 274.05
  4. Step 4: Simplify right side
    470.61x = 177,942.04
  5. Step 5: Solve for x
    x = 177,942.04/470.61
  6. Step 6: Final answer
    x = 378.11

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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.