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Finding the Fourth Proportional to 55.73, 84.20 and 55.25

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Solution

The fourth proportional to 55.73, 84.20 and 55.25 is: 83.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.73 : 84.20 = 55.25 : x
  2. Step 2: Convert to fraction form
    55.73/84.20 = 55.25/x
  3. Step 3: Cross multiply
    55.73x = 84.20 × 55.25
  4. Step 4: Simplify right side
    55.73x = 4,652.05
  5. Step 5: Solve for x
    x = 4,652.05/55.73
  6. Step 6: Final answer
    x = 83.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.