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Finding the Fourth Proportional to 470.20, 649.00 and 313.10

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Solution

The fourth proportional to 470.20, 649.00 and 313.10 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.20 : 649.00 = 313.10 : x
  2. Step 2: Convert to fraction form
    470.20/649.00 = 313.10/x
  3. Step 3: Cross multiply
    470.20x = 649.00 × 313.10
  4. Step 4: Simplify right side
    470.20x = 203,197.09
  5. Step 5: Solve for x
    x = 203,197.09/470.20
  6. Step 6: Final answer
    x = 432.15

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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.