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Finding the Fourth Proportional to 55.73, 83.60 and 52.56

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Solution

The fourth proportional to 55.73, 83.60 and 52.56 is: 78.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.73 : 83.60 = 52.56 : x
  2. Step 2: Convert to fraction form
    55.73/83.60 = 52.56/x
  3. Step 3: Cross multiply
    55.73x = 83.60 × 52.56
  4. Step 4: Simplify right side
    55.73x = 4,393.75
  5. Step 5: Solve for x
    x = 4,393.75/55.73
  6. Step 6: Final answer
    x = 78.84

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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.