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Finding the Fourth Proportional to 35.11, 52.75 and 31.27

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Solution

The fourth proportional to 35.11, 52.75 and 31.27 is: 46.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.11 : 52.75 = 31.27 : x
  2. Step 2: Convert to fraction form
    35.11/52.75 = 31.27/x
  3. Step 3: Cross multiply
    35.11x = 52.75 × 31.27
  4. Step 4: Simplify right side
    35.11x = 1,649.49
  5. Step 5: Solve for x
    x = 1,649.49/35.11
  6. Step 6: Final answer
    x = 46.98

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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.