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Finding the Fourth Proportional to 41.09, 56.38 and 40.07

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Solution

The fourth proportional to 41.09, 56.38 and 40.07 is: 54.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.09 : 56.38 = 40.07 : x
  2. Step 2: Convert to fraction form
    41.09/56.38 = 40.07/x
  3. Step 3: Cross multiply
    41.09x = 56.38 × 40.07
  4. Step 4: Simplify right side
    41.09x = 2,259.15
  5. Step 5: Solve for x
    x = 2,259.15/41.09
  6. Step 6: Final answer
    x = 54.98

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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.