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Finding the Fourth Proportional to 135.28, 185.08 and 134.70

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Solution

The fourth proportional to 135.28, 185.08 and 134.70 is: 184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.28 : 185.08 = 134.70 : x
  2. Step 2: Convert to fraction form
    135.28/185.08 = 134.70/x
  3. Step 3: Cross multiply
    135.28x = 185.08 × 134.70
  4. Step 4: Simplify right side
    135.28x = 24,931.14
  5. Step 5: Solve for x
    x = 24,931.14/135.28
  6. Step 6: Final answer
    x = 184.29

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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.