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Finding the Fourth Proportional to 317.71, 438.17 and 205.70

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Solution

The fourth proportional to 317.71, 438.17 and 205.70 is: 283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.71 : 438.17 = 205.70 : x
  2. Step 2: Convert to fraction form
    317.71/438.17 = 205.70/x
  3. Step 3: Cross multiply
    317.71x = 438.17 × 205.70
  4. Step 4: Simplify right side
    317.71x = 90,128.35
  5. Step 5: Solve for x
    x = 90,128.35/317.71
  6. Step 6: Final answer
    x = 283.69

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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.