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Finding the Fourth Proportional to 48.28, 66.91 and 47.56

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Solution

The fourth proportional to 48.28, 66.91 and 47.56 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.28 : 66.91 = 47.56 : x
  2. Step 2: Convert to fraction form
    48.28/66.91 = 47.56/x
  3. Step 3: Cross multiply
    48.28x = 66.91 × 47.56
  4. Step 4: Simplify right side
    48.28x = 3,182.24
  5. Step 5: Solve for x
    x = 3,182.24/48.28
  6. Step 6: Final answer
    x = 65.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.