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Finding the Fourth Proportional to 423.22, 634.80 and 130.72

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Solution

The fourth proportional to 423.22, 634.80 and 130.72 is: 196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.22 : 634.80 = 130.72 : x
  2. Step 2: Convert to fraction form
    423.22/634.80 = 130.72/x
  3. Step 3: Cross multiply
    423.22x = 634.80 × 130.72
  4. Step 4: Simplify right side
    423.22x = 82,981.06
  5. Step 5: Solve for x
    x = 82,981.06/423.22
  6. Step 6: Final answer
    x = 196.07

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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.