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Finding the Fourth Proportional to 134.21, 201.32 and 85.61

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Solution

The fourth proportional to 134.21, 201.32 and 85.61 is: 128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.21 : 201.32 = 85.61 : x
  2. Step 2: Convert to fraction form
    134.21/201.32 = 85.61/x
  3. Step 3: Cross multiply
    134.21x = 201.32 × 85.61
  4. Step 4: Simplify right side
    134.21x = 17,235.40
  5. Step 5: Solve for x
    x = 17,235.40/134.21
  6. Step 6: Final answer
    x = 128.42

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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.