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Finding the Fourth Proportional to 379.80, 523.62 and 261.56

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Solution

The fourth proportional to 379.80, 523.62 and 261.56 is: 360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 523.62 = 261.56 : x
  2. Step 2: Convert to fraction form
    379.80/523.62 = 261.56/x
  3. Step 3: Cross multiply
    379.80x = 523.62 × 261.56
  4. Step 4: Simplify right side
    379.80x = 136,955.43
  5. Step 5: Solve for x
    x = 136,955.43/379.80
  6. Step 6: Final answer
    x = 360.60

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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.