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Finding the Fourth Proportional to 41.70, 57.81 and 39.45

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Solution

The fourth proportional to 41.70, 57.81 and 39.45 is: 54.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.70 : 57.81 = 39.45 : x
  2. Step 2: Convert to fraction form
    41.70/57.81 = 39.45/x
  3. Step 3: Cross multiply
    41.70x = 57.81 × 39.45
  4. Step 4: Simplify right side
    41.70x = 2,280.60
  5. Step 5: Solve for x
    x = 2,280.60/41.70
  6. Step 6: Final answer
    x = 54.69

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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.