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Finding the Fourth Proportional to 16.64, 25.10 and 16.23

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Solution

The fourth proportional to 16.64, 25.10 and 16.23 is: 24.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.64 : 25.10 = 16.23 : x
  2. Step 2: Convert to fraction form
    16.64/25.10 = 16.23/x
  3. Step 3: Cross multiply
    16.64x = 25.10 × 16.23
  4. Step 4: Simplify right side
    16.64x = 407.29
  5. Step 5: Solve for x
    x = 407.29/16.64
  6. Step 6: Final answer
    x = 24.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.