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Finding the Fourth Proportional to 55.25, 83.02 and 28.21

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Solution

The fourth proportional to 55.25, 83.02 and 28.21 is: 42.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.25 : 83.02 = 28.21 : x
  2. Step 2: Convert to fraction form
    55.25/83.02 = 28.21/x
  3. Step 3: Cross multiply
    55.25x = 83.02 × 28.21
  4. Step 4: Simplify right side
    55.25x = 2,341.85
  5. Step 5: Solve for x
    x = 2,341.85/55.25
  6. Step 6: Final answer
    x = 42.39

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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.