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Finding the Fourth Proportional to 41.45, 61.83 and 40.64

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Solution

The fourth proportional to 41.45, 61.83 and 40.64 is: 60.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.45 : 61.83 = 40.64 : x
  2. Step 2: Convert to fraction form
    41.45/61.83 = 40.64/x
  3. Step 3: Cross multiply
    41.45x = 61.83 × 40.64
  4. Step 4: Simplify right side
    41.45x = 2,512.46
  5. Step 5: Solve for x
    x = 2,512.46/41.45
  6. Step 6: Final answer
    x = 60.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.