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Finding the Fourth Proportional to 470.84, 649.50 and 274.30

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Solution

The fourth proportional to 470.84, 649.50 and 274.30 is: 378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 649.50 = 274.30 : x
  2. Step 2: Convert to fraction form
    470.84/649.50 = 274.30/x
  3. Step 3: Cross multiply
    470.84x = 649.50 × 274.30
  4. Step 4: Simplify right side
    470.84x = 178,157.85
  5. Step 5: Solve for x
    x = 178,157.85/470.84
  6. Step 6: Final answer
    x = 378.38

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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.