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Finding the Fourth Proportional to 34.55, 52.09 and 31.29

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Solution

The fourth proportional to 34.55, 52.09 and 31.29 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.55 : 52.09 = 31.29 : x
  2. Step 2: Convert to fraction form
    34.55/52.09 = 31.29/x
  3. Step 3: Cross multiply
    34.55x = 52.09 × 31.29
  4. Step 4: Simplify right side
    34.55x = 1,629.80
  5. Step 5: Solve for x
    x = 1,629.80/34.55
  6. Step 6: Final answer
    x = 47.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.