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Finding the Fourth Proportional to 109.66, 164.51 and 36.55

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Solution

The fourth proportional to 109.66, 164.51 and 36.55 is: 54.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.66 : 164.51 = 36.55 : x
  2. Step 2: Convert to fraction form
    109.66/164.51 = 36.55/x
  3. Step 3: Cross multiply
    109.66x = 164.51 × 36.55
  4. Step 4: Simplify right side
    109.66x = 6,011.84
  5. Step 5: Solve for x
    x = 6,011.84/109.66
  6. Step 6: Final answer
    x = 54.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.