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Finding the Fourth Proportional to 14.68, 20.16 and 14.08

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Solution

The fourth proportional to 14.68, 20.16 and 14.08 is: 19.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.68 : 20.16 = 14.08 : x
  2. Step 2: Convert to fraction form
    14.68/20.16 = 14.08/x
  3. Step 3: Cross multiply
    14.68x = 20.16 × 14.08
  4. Step 4: Simplify right side
    14.68x = 283.85
  5. Step 5: Solve for x
    x = 283.85/14.68
  6. Step 6: Final answer
    x = 19.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.