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Finding the Fourth Proportional to 470.40, 650.04 and 353.76

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Solution

The fourth proportional to 470.40, 650.04 and 353.76 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 650.04 = 353.76 : x
  2. Step 2: Convert to fraction form
    470.40/650.04 = 353.76/x
  3. Step 3: Cross multiply
    470.40x = 650.04 × 353.76
  4. Step 4: Simplify right side
    470.40x = 229,958.15
  5. Step 5: Solve for x
    x = 229,958.15/470.40
  6. Step 6: Final answer
    x = 488.86

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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.