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Finding the Fourth Proportional to 49.07, 73.61 and 18.64

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Solution

The fourth proportional to 49.07, 73.61 and 18.64 is: 27.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.07 : 73.61 = 18.64 : x
  2. Step 2: Convert to fraction form
    49.07/73.61 = 18.64/x
  3. Step 3: Cross multiply
    49.07x = 73.61 × 18.64
  4. Step 4: Simplify right side
    49.07x = 1,371.85
  5. Step 5: Solve for x
    x = 1,371.85/49.07
  6. Step 6: Final answer
    x = 27.96

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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.