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Finding the Fourth Proportional to 71.56, 107.38 and 30.99

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Solution

The fourth proportional to 71.56, 107.38 and 30.99 is: 46.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.56 : 107.38 = 30.99 : x
  2. Step 2: Convert to fraction form
    71.56/107.38 = 30.99/x
  3. Step 3: Cross multiply
    71.56x = 107.38 × 30.99
  4. Step 4: Simplify right side
    71.56x = 3,328.03
  5. Step 5: Solve for x
    x = 3,328.03/71.56
  6. Step 6: Final answer
    x = 46.51

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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.