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Finding the Fourth Proportional to 109.43, 164.15 and 41.00

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Solution

The fourth proportional to 109.43, 164.15 and 41.00 is: 61.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.43 : 164.15 = 41.00 : x
  2. Step 2: Convert to fraction form
    109.43/164.15 = 41.00/x
  3. Step 3: Cross multiply
    109.43x = 164.15 × 41.00
  4. Step 4: Simplify right side
    109.43x = 6,730.51
  5. Step 5: Solve for x
    x = 6,730.51/109.43
  6. Step 6: Final answer
    x = 61.50

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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.