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Finding the Fourth Proportional to 380.80, 521.73 and 366.96

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Solution

The fourth proportional to 380.80, 521.73 and 366.96 is: 502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.80 : 521.73 = 366.96 : x
  2. Step 2: Convert to fraction form
    380.80/521.73 = 366.96/x
  3. Step 3: Cross multiply
    380.80x = 521.73 × 366.96
  4. Step 4: Simplify right side
    380.80x = 191,454.04
  5. Step 5: Solve for x
    x = 191,454.04/380.80
  6. Step 6: Final answer
    x = 502.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.