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Finding the Fourth Proportional to 317.70, 476.85 and 209.56

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Solution

The fourth proportional to 317.70, 476.85 and 209.56 is: 314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.70 : 476.85 = 209.56 : x
  2. Step 2: Convert to fraction form
    317.70/476.85 = 209.56/x
  3. Step 3: Cross multiply
    317.70x = 476.85 × 209.56
  4. Step 4: Simplify right side
    317.70x = 99,928.69
  5. Step 5: Solve for x
    x = 99,928.69/317.70
  6. Step 6: Final answer
    x = 314.54

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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.