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Finding the Fourth Proportional to 71.05, 97.78 and 61.33

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Solution

The fourth proportional to 71.05, 97.78 and 61.33 is: 84.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.05 : 97.78 = 61.33 : x
  2. Step 2: Convert to fraction form
    71.05/97.78 = 61.33/x
  3. Step 3: Cross multiply
    71.05x = 97.78 × 61.33
  4. Step 4: Simplify right side
    71.05x = 5,996.85
  5. Step 5: Solve for x
    x = 5,996.85/71.05
  6. Step 6: Final answer
    x = 84.40

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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.