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Finding the Fourth Proportional to 30.92, 46.37 and 15.69

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Solution

The fourth proportional to 30.92, 46.37 and 15.69 is: 23.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.92 : 46.37 = 15.69 : x
  2. Step 2: Convert to fraction form
    30.92/46.37 = 15.69/x
  3. Step 3: Cross multiply
    30.92x = 46.37 × 15.69
  4. Step 4: Simplify right side
    30.92x = 727.76
  5. Step 5: Solve for x
    x = 727.76/30.92
  6. Step 6: Final answer
    x = 23.54

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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.