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Finding the Fourth Proportional to 14.78, 20.12 and 14.60

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Solution

The fourth proportional to 14.78, 20.12 and 14.60 is: 19.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.78 : 20.12 = 14.60 : x
  2. Step 2: Convert to fraction form
    14.78/20.12 = 14.60/x
  3. Step 3: Cross multiply
    14.78x = 20.12 × 14.60
  4. Step 4: Simplify right side
    14.78x = 293.75
  5. Step 5: Solve for x
    x = 293.75/14.78
  6. Step 6: Final answer
    x = 19.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.