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Finding the Fourth Proportional to 109.85, 164.78 and 41.40

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Solution

The fourth proportional to 109.85, 164.78 and 41.40 is: 62.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.85 : 164.78 = 41.40 : x
  2. Step 2: Convert to fraction form
    109.85/164.78 = 41.40/x
  3. Step 3: Cross multiply
    109.85x = 164.78 × 41.40
  4. Step 4: Simplify right side
    109.85x = 6,821.69
  5. Step 5: Solve for x
    x = 6,821.69/109.85
  6. Step 6: Final answer
    x = 62.10

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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.