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Finding the Fourth Proportional to 470.96, 649.04 and 339.74

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Solution

The fourth proportional to 470.96, 649.04 and 339.74 is: 468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.96 : 649.04 = 339.74 : x
  2. Step 2: Convert to fraction form
    470.96/649.04 = 339.74/x
  3. Step 3: Cross multiply
    470.96x = 649.04 × 339.74
  4. Step 4: Simplify right side
    470.96x = 220,504.85
  5. Step 5: Solve for x
    x = 220,504.85/470.96
  6. Step 6: Final answer
    x = 468.20

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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.