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Finding the Fourth Proportional to 256.33, 382.33 and 248.64

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Solution

The fourth proportional to 256.33, 382.33 and 248.64 is: 370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.33 : 382.33 = 248.64 : x
  2. Step 2: Convert to fraction form
    256.33/382.33 = 248.64/x
  3. Step 3: Cross multiply
    256.33x = 382.33 × 248.64
  4. Step 4: Simplify right side
    256.33x = 95,062.53
  5. Step 5: Solve for x
    x = 95,062.53/256.33
  6. Step 6: Final answer
    x = 370.86

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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.