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Finding the Fourth Proportional to 47.28, 64.69 and 47.09

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Solution

The fourth proportional to 47.28, 64.69 and 47.09 is: 64.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.28 : 64.69 = 47.09 : x
  2. Step 2: Convert to fraction form
    47.28/64.69 = 47.09/x
  3. Step 3: Cross multiply
    47.28x = 64.69 × 47.09
  4. Step 4: Simplify right side
    47.28x = 3,046.30
  5. Step 5: Solve for x
    x = 3,046.30/47.28
  6. Step 6: Final answer
    x = 64.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.