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Finding the Fourth Proportional to 82.99, 114.49 and 76.43

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Solution

The fourth proportional to 82.99, 114.49 and 76.43 is: 105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.99 : 114.49 = 76.43 : x
  2. Step 2: Convert to fraction form
    82.99/114.49 = 76.43/x
  3. Step 3: Cross multiply
    82.99x = 114.49 × 76.43
  4. Step 4: Simplify right side
    82.99x = 8,750.76
  5. Step 5: Solve for x
    x = 8,750.76/82.99
  6. Step 6: Final answer
    x = 105.45

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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.