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Finding the Fourth Proportional to 16.30, 24.45 and 7.75

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Solution

The fourth proportional to 16.30, 24.45 and 7.75 is: 11.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.30 : 24.45 = 7.75 : x
  2. Step 2: Convert to fraction form
    16.30/24.45 = 7.75/x
  3. Step 3: Cross multiply
    16.30x = 24.45 × 7.75
  4. Step 4: Simplify right side
    16.30x = 189.40
  5. Step 5: Solve for x
    x = 189.40/16.30
  6. Step 6: Final answer
    x = 11.62

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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.