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Finding the Fourth Proportional to 95.21, 142.97 and 90.33

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Solution

The fourth proportional to 95.21, 142.97 and 90.33 is: 135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.21 : 142.97 = 90.33 : x
  2. Step 2: Convert to fraction form
    95.21/142.97 = 90.33/x
  3. Step 3: Cross multiply
    95.21x = 142.97 × 90.33
  4. Step 4: Simplify right side
    95.21x = 12,914.03
  5. Step 5: Solve for x
    x = 12,914.03/95.21
  6. Step 6: Final answer
    x = 135.64

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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.