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Finding the Fourth Proportional to 135.75, 187.17 and 100.29

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Solution

The fourth proportional to 135.75, 187.17 and 100.29 is: 138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 187.17 = 100.29 : x
  2. Step 2: Convert to fraction form
    135.75/187.17 = 100.29/x
  3. Step 3: Cross multiply
    135.75x = 187.17 × 100.29
  4. Step 4: Simplify right side
    135.75x = 18,771.28
  5. Step 5: Solve for x
    x = 18,771.28/135.75
  6. Step 6: Final answer
    x = 138.28

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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.