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Finding the Fourth Proportional to 51.41, 77.12 and 45.78

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Solution

The fourth proportional to 51.41, 77.12 and 45.78 is: 68.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.41 : 77.12 = 45.78 : x
  2. Step 2: Convert to fraction form
    51.41/77.12 = 45.78/x
  3. Step 3: Cross multiply
    51.41x = 77.12 × 45.78
  4. Step 4: Simplify right side
    51.41x = 3,530.21
  5. Step 5: Solve for x
    x = 3,530.21/51.41
  6. Step 6: Final answer
    x = 68.66

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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.