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Finding the Fourth Proportional to 40.94, 61.42 and 25.72

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Solution

The fourth proportional to 40.94, 61.42 and 25.72 is: 38.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.94 : 61.42 = 25.72 : x
  2. Step 2: Convert to fraction form
    40.94/61.42 = 25.72/x
  3. Step 3: Cross multiply
    40.94x = 61.42 × 25.72
  4. Step 4: Simplify right side
    40.94x = 1,579.72
  5. Step 5: Solve for x
    x = 1,579.72/40.94
  6. Step 6: Final answer
    x = 38.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.