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Finding the Fourth Proportional to 256.20, 383.87 and 217.65

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Solution

The fourth proportional to 256.20, 383.87 and 217.65 is: 326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.20 : 383.87 = 217.65 : x
  2. Step 2: Convert to fraction form
    256.20/383.87 = 217.65/x
  3. Step 3: Cross multiply
    256.20x = 383.87 × 217.65
  4. Step 4: Simplify right side
    256.20x = 83,548.22
  5. Step 5: Solve for x
    x = 83,548.22/256.20
  6. Step 6: Final answer
    x = 326.11

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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.