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Finding the Fourth Proportional to 380.80, 570.36 and 308.32

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Solution

The fourth proportional to 380.80, 570.36 and 308.32 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.80 : 570.36 = 308.32 : x
  2. Step 2: Convert to fraction form
    380.80/570.36 = 308.32/x
  3. Step 3: Cross multiply
    380.80x = 570.36 × 308.32
  4. Step 4: Simplify right side
    380.80x = 175,853.40
  5. Step 5: Solve for x
    x = 175,853.40/380.80
  6. Step 6: Final answer
    x = 461.80

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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.