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Finding the Fourth Proportional to 35.31, 52.82 and 28.56

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Solution

The fourth proportional to 35.31, 52.82 and 28.56 is: 42.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.31 : 52.82 = 28.56 : x
  2. Step 2: Convert to fraction form
    35.31/52.82 = 28.56/x
  3. Step 3: Cross multiply
    35.31x = 52.82 × 28.56
  4. Step 4: Simplify right side
    35.31x = 1,508.54
  5. Step 5: Solve for x
    x = 1,508.54/35.31
  6. Step 6: Final answer
    x = 42.72

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Why These Related Problems?

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