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Finding the Fourth Proportional to 256.28, 386.27 and 220.64

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Solution

The fourth proportional to 256.28, 386.27 and 220.64 is: 332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.28 : 386.27 = 220.64 : x
  2. Step 2: Convert to fraction form
    256.28/386.27 = 220.64/x
  3. Step 3: Cross multiply
    256.28x = 386.27 × 220.64
  4. Step 4: Simplify right side
    256.28x = 85,226.61
  5. Step 5: Solve for x
    x = 85,226.61/256.28
  6. Step 6: Final answer
    x = 332.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.