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Finding the Fourth Proportional to 80.50, 111.06 and 51.38

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Solution

The fourth proportional to 80.50, 111.06 and 51.38 is: 70.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.50 : 111.06 = 51.38 : x
  2. Step 2: Convert to fraction form
    80.50/111.06 = 51.38/x
  3. Step 3: Cross multiply
    80.50x = 111.06 × 51.38
  4. Step 4: Simplify right side
    80.50x = 5,706.26
  5. Step 5: Solve for x
    x = 5,706.26/80.50
  6. Step 6: Final answer
    x = 70.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.