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Finding the Fourth Proportional to 80.50, 110.41 and 70.78

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Solution

The fourth proportional to 80.50, 110.41 and 70.78 is: 97.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.50 : 110.41 = 70.78 : x
  2. Step 2: Convert to fraction form
    80.50/110.41 = 70.78/x
  3. Step 3: Cross multiply
    80.50x = 110.41 × 70.78
  4. Step 4: Simplify right side
    80.50x = 7,814.82
  5. Step 5: Solve for x
    x = 7,814.82/80.50
  6. Step 6: Final answer
    x = 97.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.