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Finding the Fourth Proportional to 129.37, 194.01 and 56.22

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Solution

The fourth proportional to 129.37, 194.01 and 56.22 is: 84.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.37 : 194.01 = 56.22 : x
  2. Step 2: Convert to fraction form
    129.37/194.01 = 56.22/x
  3. Step 3: Cross multiply
    129.37x = 194.01 × 56.22
  4. Step 4: Simplify right side
    129.37x = 10,907.24
  5. Step 5: Solve for x
    x = 10,907.24/129.37
  6. Step 6: Final answer
    x = 84.31

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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.