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Finding the Fourth Proportional to 135.19, 185.57 and 129.28

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Solution

The fourth proportional to 135.19, 185.57 and 129.28 is: 177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.19 : 185.57 = 129.28 : x
  2. Step 2: Convert to fraction form
    135.19/185.57 = 129.28/x
  3. Step 3: Cross multiply
    135.19x = 185.57 × 129.28
  4. Step 4: Simplify right side
    135.19x = 23,990.49
  5. Step 5: Solve for x
    x = 23,990.49/135.19
  6. Step 6: Final answer
    x = 177.46

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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.