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Finding the Fourth Proportional to 470.50, 649.31 and 274.06

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Solution

The fourth proportional to 470.50, 649.31 and 274.06 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.50 : 649.31 = 274.06 : x
  2. Step 2: Convert to fraction form
    470.50/649.31 = 274.06/x
  3. Step 3: Cross multiply
    470.50x = 649.31 × 274.06
  4. Step 4: Simplify right side
    470.50x = 177,946.65
  5. Step 5: Solve for x
    x = 177,946.65/470.50
  6. Step 6: Final answer
    x = 378.21

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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.