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Finding the Fourth Proportional to 51.62, 70.25 and 51.41

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Solution

The fourth proportional to 51.62, 70.25 and 51.41 is: 69.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.62 : 70.25 = 51.41 : x
  2. Step 2: Convert to fraction form
    51.62/70.25 = 51.41/x
  3. Step 3: Cross multiply
    51.62x = 70.25 × 51.41
  4. Step 4: Simplify right side
    51.62x = 3,610.94
  5. Step 5: Solve for x
    x = 3,610.94/51.62
  6. Step 6: Final answer
    x = 69.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.