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Finding the Fourth Proportional to 256.02, 381.89 and 239.01

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Solution

The fourth proportional to 256.02, 381.89 and 239.01 is: 356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 381.89 = 239.01 : x
  2. Step 2: Convert to fraction form
    256.02/381.89 = 239.01/x
  3. Step 3: Cross multiply
    256.02x = 381.89 × 239.01
  4. Step 4: Simplify right side
    256.02x = 91,274.33
  5. Step 5: Solve for x
    x = 91,274.33/256.02
  6. Step 6: Final answer
    x = 356.51

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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.