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Finding the Fourth Proportional to 36.21, 54.06 and 29.46

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Solution

The fourth proportional to 36.21, 54.06 and 29.46 is: 43.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.21 : 54.06 = 29.46 : x
  2. Step 2: Convert to fraction form
    36.21/54.06 = 29.46/x
  3. Step 3: Cross multiply
    36.21x = 54.06 × 29.46
  4. Step 4: Simplify right side
    36.21x = 1,592.61
  5. Step 5: Solve for x
    x = 1,592.61/36.21
  6. Step 6: Final answer
    x = 43.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.