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Finding the Fourth Proportional to 470.15, 704.61 and 209.78

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Solution

The fourth proportional to 470.15, 704.61 and 209.78 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.15 : 704.61 = 209.78 : x
  2. Step 2: Convert to fraction form
    470.15/704.61 = 209.78/x
  3. Step 3: Cross multiply
    470.15x = 704.61 × 209.78
  4. Step 4: Simplify right side
    470.15x = 147,813.09
  5. Step 5: Solve for x
    x = 147,813.09/470.15
  6. Step 6: Final answer
    x = 314.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.