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Finding the Fourth Proportional to 55.21, 76.20 and 36.84

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Solution

The fourth proportional to 55.21, 76.20 and 36.84 is: 50.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.21 : 76.20 = 36.84 : x
  2. Step 2: Convert to fraction form
    55.21/76.20 = 36.84/x
  3. Step 3: Cross multiply
    55.21x = 76.20 × 36.84
  4. Step 4: Simplify right side
    55.21x = 2,807.21
  5. Step 5: Solve for x
    x = 2,807.21/55.21
  6. Step 6: Final answer
    x = 50.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.