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Finding the Fourth Proportional to 317.82, 475.92 and 209.28

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Solution

The fourth proportional to 317.82, 475.92 and 209.28 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.82 : 475.92 = 209.28 : x
  2. Step 2: Convert to fraction form
    317.82/475.92 = 209.28/x
  3. Step 3: Cross multiply
    317.82x = 475.92 × 209.28
  4. Step 4: Simplify right side
    317.82x = 99,600.54
  5. Step 5: Solve for x
    x = 99,600.54/317.82
  6. Step 6: Final answer
    x = 313.39

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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.