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Finding the Fourth Proportional to 317.80, 438.31 and 205.64

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Solution

The fourth proportional to 317.80, 438.31 and 205.64 is: 283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.80 : 438.31 = 205.64 : x
  2. Step 2: Convert to fraction form
    317.80/438.31 = 205.64/x
  3. Step 3: Cross multiply
    317.80x = 438.31 × 205.64
  4. Step 4: Simplify right side
    317.80x = 90,133.78
  5. Step 5: Solve for x
    x = 90,133.78/317.80
  6. Step 6: Final answer
    x = 283.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.