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Finding the Fourth Proportional to 381.39, 525.47 and 256.83

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Solution

The fourth proportional to 381.39, 525.47 and 256.83 is: 353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.39 : 525.47 = 256.83 : x
  2. Step 2: Convert to fraction form
    381.39/525.47 = 256.83/x
  3. Step 3: Cross multiply
    381.39x = 525.47 × 256.83
  4. Step 4: Simplify right side
    381.39x = 134,955.18
  5. Step 5: Solve for x
    x = 134,955.18/381.39
  6. Step 6: Final answer
    x = 353.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.