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Finding the Fourth Proportional to 135.26, 203.02 and 96.90

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Solution

The fourth proportional to 135.26, 203.02 and 96.90 is: 145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.26 : 203.02 = 96.90 : x
  2. Step 2: Convert to fraction form
    135.26/203.02 = 96.90/x
  3. Step 3: Cross multiply
    135.26x = 203.02 × 96.90
  4. Step 4: Simplify right side
    135.26x = 19,672.64
  5. Step 5: Solve for x
    x = 19,672.64/135.26
  6. Step 6: Final answer
    x = 145.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.