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Finding the Fourth Proportional to 30.67, 46.19 and 28.64

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Solution

The fourth proportional to 30.67, 46.19 and 28.64 is: 43.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.67 : 46.19 = 28.64 : x
  2. Step 2: Convert to fraction form
    30.67/46.19 = 28.64/x
  3. Step 3: Cross multiply
    30.67x = 46.19 × 28.64
  4. Step 4: Simplify right side
    30.67x = 1,322.85
  5. Step 5: Solve for x
    x = 1,322.85/30.67
  6. Step 6: Final answer
    x = 43.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.