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Finding the Fourth Proportional to 109.80, 164.61 and 90.54

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Solution

The fourth proportional to 109.80, 164.61 and 90.54 is: 135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 164.61 = 90.54 : x
  2. Step 2: Convert to fraction form
    109.80/164.61 = 90.54/x
  3. Step 3: Cross multiply
    109.80x = 164.61 × 90.54
  4. Step 4: Simplify right side
    109.80x = 14,903.79
  5. Step 5: Solve for x
    x = 14,903.79/109.80
  6. Step 6: Final answer
    x = 135.74

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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.