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Finding the Fourth Proportional to 109.64, 164.58 and 74.83

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Solution

The fourth proportional to 109.64, 164.58 and 74.83 is: 112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.64 : 164.58 = 74.83 : x
  2. Step 2: Convert to fraction form
    109.64/164.58 = 74.83/x
  3. Step 3: Cross multiply
    109.64x = 164.58 × 74.83
  4. Step 4: Simplify right side
    109.64x = 12,315.52
  5. Step 5: Solve for x
    x = 12,315.52/109.64
  6. Step 6: Final answer
    x = 112.33

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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.