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Finding the Fourth Proportional to 47.36, 71.09 and 29.37

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Solution

The fourth proportional to 47.36, 71.09 and 29.37 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.36 : 71.09 = 29.37 : x
  2. Step 2: Convert to fraction form
    47.36/71.09 = 29.37/x
  3. Step 3: Cross multiply
    47.36x = 71.09 × 29.37
  4. Step 4: Simplify right side
    47.36x = 2,087.99
  5. Step 5: Solve for x
    x = 2,087.99/47.36
  6. Step 6: Final answer
    x = 44.09

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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.