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Finding the Fourth Proportional to 470.74, 649.66 and 274.31

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Solution

The fourth proportional to 470.74, 649.66 and 274.31 is: 378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.74 : 649.66 = 274.31 : x
  2. Step 2: Convert to fraction form
    470.74/649.66 = 274.31/x
  3. Step 3: Cross multiply
    470.74x = 649.66 × 274.31
  4. Step 4: Simplify right side
    470.74x = 178,206.86
  5. Step 5: Solve for x
    x = 178,206.86/470.74
  6. Step 6: Final answer
    x = 378.57

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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.