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Finding the Fourth Proportional to 317.81, 476.31 and 209.81

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Solution

The fourth proportional to 317.81, 476.31 and 209.81 is: 314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.81 : 476.31 = 209.81 : x
  2. Step 2: Convert to fraction form
    317.81/476.31 = 209.81/x
  3. Step 3: Cross multiply
    317.81x = 476.31 × 209.81
  4. Step 4: Simplify right side
    317.81x = 99,934.60
  5. Step 5: Solve for x
    x = 99,934.60/317.81
  6. Step 6: Final answer
    x = 314.45

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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.