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Finding the Fourth Proportional to 470.69, 649.66 and 274.32

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Solution

The fourth proportional to 470.69, 649.66 and 274.32 is: 378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.69 : 649.66 = 274.32 : x
  2. Step 2: Convert to fraction form
    470.69/649.66 = 274.32/x
  3. Step 3: Cross multiply
    470.69x = 649.66 × 274.32
  4. Step 4: Simplify right side
    470.69x = 178,214.73
  5. Step 5: Solve for x
    x = 178,214.73/470.69
  6. Step 6: Final answer
    x = 378.62

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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.