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Finding the Fourth Proportional to 46.38, 69.70 and 28.42

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Solution

The fourth proportional to 46.38, 69.70 and 28.42 is: 42.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.38 : 69.70 = 28.42 : x
  2. Step 2: Convert to fraction form
    46.38/69.70 = 28.42/x
  3. Step 3: Cross multiply
    46.38x = 69.70 × 28.42
  4. Step 4: Simplify right side
    46.38x = 1,980.87
  5. Step 5: Solve for x
    x = 1,980.87/46.38
  6. Step 6: Final answer
    x = 42.71

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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.