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Finding the Fourth Proportional to 102.56, 140.64 and 92.80

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Solution

The fourth proportional to 102.56, 140.64 and 92.80 is: 127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 140.64 = 92.80 : x
  2. Step 2: Convert to fraction form
    102.56/140.64 = 92.80/x
  3. Step 3: Cross multiply
    102.56x = 140.64 × 92.80
  4. Step 4: Simplify right side
    102.56x = 13,051.39
  5. Step 5: Solve for x
    x = 13,051.39/102.56
  6. Step 6: Final answer
    x = 127.26

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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.