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Finding the Fourth Proportional to 380.25, 570.39 and 106.35

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Solution

The fourth proportional to 380.25, 570.39 and 106.35 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 570.39 = 106.35 : x
  2. Step 2: Convert to fraction form
    380.25/570.39 = 106.35/x
  3. Step 3: Cross multiply
    380.25x = 570.39 × 106.35
  4. Step 4: Simplify right side
    380.25x = 60,660.98
  5. Step 5: Solve for x
    x = 60,660.98/380.25
  6. Step 6: Final answer
    x = 159.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.