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Finding the Fourth Proportional to 14.78, 20.54 and 14.61

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Solution

The fourth proportional to 14.78, 20.54 and 14.61 is: 20.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.78 : 20.54 = 14.61 : x
  2. Step 2: Convert to fraction form
    14.78/20.54 = 14.61/x
  3. Step 3: Cross multiply
    14.78x = 20.54 × 14.61
  4. Step 4: Simplify right side
    14.78x = 300.09
  5. Step 5: Solve for x
    x = 300.09/14.78
  6. Step 6: Final answer
    x = 20.30

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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.