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Finding the Fourth Proportional to 381.56, 525.66 and 264.92

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Solution

The fourth proportional to 381.56, 525.66 and 264.92 is: 364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 525.66 = 264.92 : x
  2. Step 2: Convert to fraction form
    381.56/525.66 = 264.92/x
  3. Step 3: Cross multiply
    381.56x = 525.66 × 264.92
  4. Step 4: Simplify right side
    381.56x = 139,257.85
  5. Step 5: Solve for x
    x = 139,257.85/381.56
  6. Step 6: Final answer
    x = 364.97

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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.