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Finding the Fourth Proportional to 18.55, 25.57 and 13.64

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Solution

The fourth proportional to 18.55, 25.57 and 13.64 is: 18.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.55 : 25.57 = 13.64 : x
  2. Step 2: Convert to fraction form
    18.55/25.57 = 13.64/x
  3. Step 3: Cross multiply
    18.55x = 25.57 × 13.64
  4. Step 4: Simplify right side
    18.55x = 348.80
  5. Step 5: Solve for x
    x = 348.80/18.55
  6. Step 6: Final answer
    x = 18.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.