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Finding the Fourth Proportional to 51.41, 76.97 and 40.50

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Solution

The fourth proportional to 51.41, 76.97 and 40.50 is: 60.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.41 : 76.97 = 40.50 : x
  2. Step 2: Convert to fraction form
    51.41/76.97 = 40.50/x
  3. Step 3: Cross multiply
    51.41x = 76.97 × 40.50
  4. Step 4: Simplify right side
    51.41x = 3,117.08
  5. Step 5: Solve for x
    x = 3,117.08/51.41
  6. Step 6: Final answer
    x = 60.64

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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.