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Finding the Fourth Proportional to 40.42, 55.49 and 36.10

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Solution

The fourth proportional to 40.42, 55.49 and 36.10 is: 49.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.42 : 55.49 = 36.10 : x
  2. Step 2: Convert to fraction form
    40.42/55.49 = 36.10/x
  3. Step 3: Cross multiply
    40.42x = 55.49 × 36.10
  4. Step 4: Simplify right side
    40.42x = 2,003.19
  5. Step 5: Solve for x
    x = 2,003.19/40.42
  6. Step 6: Final answer
    x = 49.56

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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.