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Finding the Fourth Proportional to 46.19, 69.21 and 18.75

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Solution

The fourth proportional to 46.19, 69.21 and 18.75 is: 28.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.19 : 69.21 = 18.75 : x
  2. Step 2: Convert to fraction form
    46.19/69.21 = 18.75/x
  3. Step 3: Cross multiply
    46.19x = 69.21 × 18.75
  4. Step 4: Simplify right side
    46.19x = 1,297.59
  5. Step 5: Solve for x
    x = 1,297.59/46.19
  6. Step 6: Final answer
    x = 28.10

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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.