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Finding the Fourth Proportional to 16.45, 24.71 and 10.78

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Solution

The fourth proportional to 16.45, 24.71 and 10.78 is: 16.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 24.71 = 10.78 : x
  2. Step 2: Convert to fraction form
    16.45/24.71 = 10.78/x
  3. Step 3: Cross multiply
    16.45x = 24.71 × 10.78
  4. Step 4: Simplify right side
    16.45x = 266.40
  5. Step 5: Solve for x
    x = 266.40/16.45
  6. Step 6: Final answer
    x = 16.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.