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Finding the Fourth Proportional to 470.66, 649.45 and 274.14

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Solution

The fourth proportional to 470.66, 649.45 and 274.14 is: 378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.66 : 649.45 = 274.14 : x
  2. Step 2: Convert to fraction form
    470.66/649.45 = 274.14/x
  3. Step 3: Cross multiply
    470.66x = 649.45 × 274.14
  4. Step 4: Simplify right side
    470.66x = 178,040.22
  5. Step 5: Solve for x
    x = 178,040.22/470.66
  6. Step 6: Final answer
    x = 378.28

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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.