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Finding the Fourth Proportional to 35.31, 52.71 and 30.75

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Solution

The fourth proportional to 35.31, 52.71 and 30.75 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.31 : 52.71 = 30.75 : x
  2. Step 2: Convert to fraction form
    35.31/52.71 = 30.75/x
  3. Step 3: Cross multiply
    35.31x = 52.71 × 30.75
  4. Step 4: Simplify right side
    35.31x = 1,620.68
  5. Step 5: Solve for x
    x = 1,620.68/35.31
  6. Step 6: Final answer
    x = 45.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.