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Finding the Fourth Proportional to 380.82, 525.90 and 276.06

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Solution

The fourth proportional to 380.82, 525.90 and 276.06 is: 381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.82 : 525.90 = 276.06 : x
  2. Step 2: Convert to fraction form
    380.82/525.90 = 276.06/x
  3. Step 3: Cross multiply
    380.82x = 525.90 × 276.06
  4. Step 4: Simplify right side
    380.82x = 145,179.95
  5. Step 5: Solve for x
    x = 145,179.95/380.82
  6. Step 6: Final answer
    x = 381.23

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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.