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Finding the Fourth Proportional to 40.54, 56.18 and 39.82

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Solution

The fourth proportional to 40.54, 56.18 and 39.82 is: 55.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.54 : 56.18 = 39.82 : x
  2. Step 2: Convert to fraction form
    40.54/56.18 = 39.82/x
  3. Step 3: Cross multiply
    40.54x = 56.18 × 39.82
  4. Step 4: Simplify right side
    40.54x = 2,237.09
  5. Step 5: Solve for x
    x = 2,237.09/40.54
  6. Step 6: Final answer
    x = 55.18

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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.