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Finding the Fourth Proportional to 16.80, 25.08 and 14.64

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Solution

The fourth proportional to 16.80, 25.08 and 14.64 is: 21.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.80 : 25.08 = 14.64 : x
  2. Step 2: Convert to fraction form
    16.80/25.08 = 14.64/x
  3. Step 3: Cross multiply
    16.80x = 25.08 × 14.64
  4. Step 4: Simplify right side
    16.80x = 367.17
  5. Step 5: Solve for x
    x = 367.17/16.80
  6. Step 6: Final answer
    x = 21.86

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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.