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Finding the Fourth Proportional to 41.40, 56.64 and 41.22

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Solution

The fourth proportional to 41.40, 56.64 and 41.22 is: 56.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.40 : 56.64 = 41.22 : x
  2. Step 2: Convert to fraction form
    41.40/56.64 = 41.22/x
  3. Step 3: Cross multiply
    41.40x = 56.64 × 41.22
  4. Step 4: Simplify right side
    41.40x = 2,334.70
  5. Step 5: Solve for x
    x = 2,334.70/41.40
  6. Step 6: Final answer
    x = 56.39

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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.