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Finding the Fourth Proportional to 73.15, 109.64 and 44.30

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Solution

The fourth proportional to 73.15, 109.64 and 44.30 is: 66.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.15 : 109.64 = 44.30 : x
  2. Step 2: Convert to fraction form
    73.15/109.64 = 44.30/x
  3. Step 3: Cross multiply
    73.15x = 109.64 × 44.30
  4. Step 4: Simplify right side
    73.15x = 4,857.44
  5. Step 5: Solve for x
    x = 4,857.44/73.15
  6. Step 6: Final answer
    x = 66.41

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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.