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Finding the Fourth Proportional to 317.71, 476.57 and 209.58

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Solution

The fourth proportional to 317.71, 476.57 and 209.58 is: 314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.71 : 476.57 = 209.58 : x
  2. Step 2: Convert to fraction form
    317.71/476.57 = 209.58/x
  3. Step 3: Cross multiply
    317.71x = 476.57 × 209.58
  4. Step 4: Simplify right side
    317.71x = 99,879.54
  5. Step 5: Solve for x
    x = 99,879.54/317.71
  6. Step 6: Final answer
    x = 314.37

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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.