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Finding the Fourth Proportional to 82.40, 114.36 and 76.64

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Solution

The fourth proportional to 82.40, 114.36 and 76.64 is: 106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.40 : 114.36 = 76.64 : x
  2. Step 2: Convert to fraction form
    82.40/114.36 = 76.64/x
  3. Step 3: Cross multiply
    82.40x = 114.36 × 76.64
  4. Step 4: Simplify right side
    82.40x = 8,764.55
  5. Step 5: Solve for x
    x = 8,764.55/82.40
  6. Step 6: Final answer
    x = 106.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.