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Finding the Fourth Proportional to 90.34, 135.43 and 75.09

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Solution

The fourth proportional to 90.34, 135.43 and 75.09 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.34 : 135.43 = 75.09 : x
  2. Step 2: Convert to fraction form
    90.34/135.43 = 75.09/x
  3. Step 3: Cross multiply
    90.34x = 135.43 × 75.09
  4. Step 4: Simplify right side
    90.34x = 10,169.44
  5. Step 5: Solve for x
    x = 10,169.44/90.34
  6. Step 6: Final answer
    x = 112.57

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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.