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Finding the Fourth Proportional to 41.23, 56.64 and 33.43

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Solution

The fourth proportional to 41.23, 56.64 and 33.43 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.23 : 56.64 = 33.43 : x
  2. Step 2: Convert to fraction form
    41.23/56.64 = 33.43/x
  3. Step 3: Cross multiply
    41.23x = 56.64 × 33.43
  4. Step 4: Simplify right side
    41.23x = 1,893.02
  5. Step 5: Solve for x
    x = 1,893.02/41.23
  6. Step 6: Final answer
    x = 45.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.