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Finding the Fourth Proportional to 256.37, 381.31 and 253.33

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Solution

The fourth proportional to 256.37, 381.31 and 253.33 is: 376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.37 : 381.31 = 253.33 : x
  2. Step 2: Convert to fraction form
    256.37/381.31 = 253.33/x
  3. Step 3: Cross multiply
    256.37x = 381.31 × 253.33
  4. Step 4: Simplify right side
    256.37x = 96,595.68
  5. Step 5: Solve for x
    x = 96,595.68/256.37
  6. Step 6: Final answer
    x = 376.79

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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.