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Finding the Fourth Proportional to 41.05, 55.86 and 40.83

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Solution

The fourth proportional to 41.05, 55.86 and 40.83 is: 55.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.05 : 55.86 = 40.83 : x
  2. Step 2: Convert to fraction form
    41.05/55.86 = 40.83/x
  3. Step 3: Cross multiply
    41.05x = 55.86 × 40.83
  4. Step 4: Simplify right side
    41.05x = 2,280.76
  5. Step 5: Solve for x
    x = 2,280.76/41.05
  6. Step 6: Final answer
    x = 55.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.