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Finding the Fourth Proportional to 36.64, 55.28 and 35.94

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Solution

The fourth proportional to 36.64, 55.28 and 35.94 is: 54.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.64 : 55.28 = 35.94 : x
  2. Step 2: Convert to fraction form
    36.64/55.28 = 35.94/x
  3. Step 3: Cross multiply
    36.64x = 55.28 × 35.94
  4. Step 4: Simplify right side
    36.64x = 1,986.76
  5. Step 5: Solve for x
    x = 1,986.76/36.64
  6. Step 6: Final answer
    x = 54.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.