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Finding the Fourth Proportional to 200.80, 300.88 and 104.32

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Solution

The fourth proportional to 200.80, 300.88 and 104.32 is: 156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 300.88 = 104.32 : x
  2. Step 2: Convert to fraction form
    200.80/300.88 = 104.32/x
  3. Step 3: Cross multiply
    200.80x = 300.88 × 104.32
  4. Step 4: Simplify right side
    200.80x = 31,387.80
  5. Step 5: Solve for x
    x = 31,387.80/200.80
  6. Step 6: Final answer
    x = 156.31

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