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Finding the Fourth Proportional to 256.80, 383.22 and 205.20

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Solution

The fourth proportional to 256.80, 383.22 and 205.20 is: 306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.80 : 383.22 = 205.20 : x
  2. Step 2: Convert to fraction form
    256.80/383.22 = 205.20/x
  3. Step 3: Cross multiply
    256.80x = 383.22 × 205.20
  4. Step 4: Simplify right side
    256.80x = 78,636.74
  5. Step 5: Solve for x
    x = 78,636.74/256.80
  6. Step 6: Final answer
    x = 306.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.