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Finding the Fourth Proportional to 53.82, 74.28 and 34.42

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Solution

The fourth proportional to 53.82, 74.28 and 34.42 is: 47.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.82 : 74.28 = 34.42 : x
  2. Step 2: Convert to fraction form
    53.82/74.28 = 34.42/x
  3. Step 3: Cross multiply
    53.82x = 74.28 × 34.42
  4. Step 4: Simplify right side
    53.82x = 2,556.72
  5. Step 5: Solve for x
    x = 2,556.72/53.82
  6. Step 6: Final answer
    x = 47.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.