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Finding the Fourth Proportional to 14.89, 20.69 and 14.64

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Solution

The fourth proportional to 14.89, 20.69 and 14.64 is: 20.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.89 : 20.69 = 14.64 : x
  2. Step 2: Convert to fraction form
    14.89/20.69 = 14.64/x
  3. Step 3: Cross multiply
    14.89x = 20.69 × 14.64
  4. Step 4: Simplify right side
    14.89x = 302.83
  5. Step 5: Solve for x
    x = 302.83/14.89
  6. Step 6: Final answer
    x = 20.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.