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Finding the Fourth Proportional to 317.85, 438.40 and 205.74

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Solution

The fourth proportional to 317.85, 438.40 and 205.74 is: 283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.85 : 438.40 = 205.74 : x
  2. Step 2: Convert to fraction form
    317.85/438.40 = 205.74/x
  3. Step 3: Cross multiply
    317.85x = 438.40 × 205.74
  4. Step 4: Simplify right side
    317.85x = 90,193.20
  5. Step 5: Solve for x
    x = 90,193.20/317.85
  6. Step 6: Final answer
    x = 283.76

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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.