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Finding the Fourth Proportional to 40.21, 54.76 and 39.46

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Solution

The fourth proportional to 40.21, 54.76 and 39.46 is: 53.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.21 : 54.76 = 39.46 : x
  2. Step 2: Convert to fraction form
    40.21/54.76 = 39.46/x
  3. Step 3: Cross multiply
    40.21x = 54.76 × 39.46
  4. Step 4: Simplify right side
    40.21x = 2,160.83
  5. Step 5: Solve for x
    x = 2,160.83/40.21
  6. Step 6: Final answer
    x = 53.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.