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Finding the Fourth Proportional to 380.97, 527.72 and 350.19

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Solution

The fourth proportional to 380.97, 527.72 and 350.19 is: 485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.97 : 527.72 = 350.19 : x
  2. Step 2: Convert to fraction form
    380.97/527.72 = 350.19/x
  3. Step 3: Cross multiply
    380.97x = 527.72 × 350.19
  4. Step 4: Simplify right side
    380.97x = 184,800.52
  5. Step 5: Solve for x
    x = 184,800.52/380.97
  6. Step 6: Final answer
    x = 485.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.