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Finding the Fourth Proportional to 109.84, 164.40 and 90.58

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Solution

The fourth proportional to 109.84, 164.40 and 90.58 is: 135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 164.40 = 90.58 : x
  2. Step 2: Convert to fraction form
    109.84/164.40 = 90.58/x
  3. Step 3: Cross multiply
    109.84x = 164.40 × 90.58
  4. Step 4: Simplify right side
    109.84x = 14,891.35
  5. Step 5: Solve for x
    x = 14,891.35/109.84
  6. Step 6: Final answer
    x = 135.57

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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.