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Finding the Fourth Proportional to 51.28, 76.62 and 41.03

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Solution

The fourth proportional to 51.28, 76.62 and 41.03 is: 61.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.28 : 76.62 = 41.03 : x
  2. Step 2: Convert to fraction form
    51.28/76.62 = 41.03/x
  3. Step 3: Cross multiply
    51.28x = 76.62 × 41.03
  4. Step 4: Simplify right side
    51.28x = 3,143.72
  5. Step 5: Solve for x
    x = 3,143.72/51.28
  6. Step 6: Final answer
    x = 61.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.