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Finding the Fourth Proportional to 59.38, 82 and 40.96

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Solution

The fourth proportional to 59.38, 82 and 40.96 is: 56.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.38 : 82 = 40.96 : x
  2. Step 2: Convert to fraction form
    59.38/82 = 40.96/x
  3. Step 3: Cross multiply
    59.38x = 82 × 40.96
  4. Step 4: Simplify right side
    59.38x = 3,358.72
  5. Step 5: Solve for x
    x = 3,358.72/59.38
  6. Step 6: Final answer
    x = 56.56

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1.5x scale

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.