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Finding the Fourth Proportional to 15.96, 23.99 and 15.80

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Solution

The fourth proportional to 15.96, 23.99 and 15.80 is: 23.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.96 : 23.99 = 15.80 : x
  2. Step 2: Convert to fraction form
    15.96/23.99 = 15.80/x
  3. Step 3: Cross multiply
    15.96x = 23.99 × 15.80
  4. Step 4: Simplify right side
    15.96x = 378.96
  5. Step 5: Solve for x
    x = 378.96/15.96
  6. Step 6: Final answer
    x = 23.74

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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.