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Finding the Fourth Proportional to 16.64, 24.78 and 16.40

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Solution

The fourth proportional to 16.64, 24.78 and 16.40 is: 24.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.64 : 24.78 = 16.40 : x
  2. Step 2: Convert to fraction form
    16.64/24.78 = 16.40/x
  3. Step 3: Cross multiply
    16.64x = 24.78 × 16.40
  4. Step 4: Simplify right side
    16.64x = 406.39
  5. Step 5: Solve for x
    x = 406.39/16.64
  6. Step 6: Final answer
    x = 24.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.