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Finding the Fourth Proportional to 83.21, 114.86 and 61.34

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Solution

The fourth proportional to 83.21, 114.86 and 61.34 is: 84.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 114.86 = 61.34 : x
  2. Step 2: Convert to fraction form
    83.21/114.86 = 61.34/x
  3. Step 3: Cross multiply
    83.21x = 114.86 × 61.34
  4. Step 4: Simplify right side
    83.21x = 7,045.23
  5. Step 5: Solve for x
    x = 7,045.23/83.21
  6. Step 6: Final answer
    x = 84.67

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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.